~~SECURITIES~~OMB ~~AND~~APPROVAL OMB ~~EXCHANGE~~Number: ~~COMMISSION~~3235-0060 Expires: January 31, 2008 Estimated average burden hours per response.....38.0

UNITED STATES SECURITIES AND EXCHANGE COMMISSION Washington, D.C. 20549

FORM 8-K

CURRENT REPORT PURSUANT TO SECTION 13 OR 15(d) OF THE SECURITIES AND EXCHANGE ACT OF 1934 Date of Report (Date of earliest event reported) December 22, 2005

~~Pursuant~~ Structured toAsset Mortgage ~~Section~~Investments 13II ~~or 15~~Inc. (d)Exact name of ~~the~~Registrant as specified in its charter)

~~Securities~~Delaware ~~Exchange~~(State ~~Act~~or other jurisdiction of ~~1934~~incorporation) 333-120916 (Commission file number) 30-0183252 (I.R.S. employer identification no.)

~~Date~~383 ofMadison ~~Report~~Avenue New York, New York (~~Date~~Address of ~~earliest~~principal ~~event~~executive ~~reported~~offices)~~: October~~ ~~28,~~10179 ~~2005~~(ZIP Code)

~~STRUCTURED~~Registrant's ~~ASSET MORTGAGE~~telephone ~~INVESTMENTS~~number, IIincluding ~~INC.~~ area code (212) 272-2000

N/A (~~Exact~~Former name ofor ~~registrant~~former asaddress, ~~specified~~if inchanged ~~its~~since ~~charter~~last report)

DELAWARE	333-120916	30-0183252
(State or other jurisdiction of incorporation)	(Commission file number)	(I.R.S. employer identification no.)

Check the appropriate box below if the Form 8-K filing is intended to simultaneously satisfy the filing obligation of the registrant under any of the following provisions (see General Instruction A.2. below):
[ ] Written communications pursuant to Rule 425 under the Securities Act (17 CFR 230.425)
[ ] Soliciting material pursuant to Rule 14a-12 under the Exchange Act (17 CFR 240.14a-12)
[ ] Pre-commencement communications pursuant to Rule 14d-2(b) under the Exchange Act (17 CFR 240.14d-2(b))
[ ] Pre-commencement communications pursuant to Rule 13e-4(c) under the Exchange Act (17 CFR 240.13e-4(c))

~~383~~Item ~~Madison~~8.01 Other ~~Avenue~~Events

~~New~~Structured ~~York~~Asset Mortgage Investments II Inc. (the “Registrant”), NYas ~~10179~~depositor (the “Depositor”), registered issuances of securities on a delayed or continuous basis pursuant to Rule 415 under the Securities Act of 1933, as amended, by a Registration Statement on Form S-3 (Registration File No. 333-120916) (the “Registration Statement”). Pursuant to the Registration Statement, Thornburg Mortgage Securities Trust 2005-4 issued publicly its Mortgage Pass-Through Certificates, Series 2005-4 (the “Certificates”), on December 22, 2005.

~~(Address~~The Certificates were issued pursuant to a trust, pooling and servicing agreement, dated as of ~~Principal~~December ~~Executive~~1, ~~Offices)~~2005, among the Depositor, Thornburg Mortgage Home Loans, Inc., Wells Fargo Bank, N.A., as Securities Administrator and Master Servicer, U.S. Bank National Association, as Trustee and Wilmington Trust Company, as Delaware Trustee.

~~(Zip~~Capitalized ~~Code)~~terms not defined herein have the meanings assigned in the Trust, Pooling and Servicing Agreement attached hereto as Exhibit 4.1.

~~Registrant's~~Item ~~telephone~~9.01 ~~number,~~Financial ~~including~~Statements ~~area~~and ~~code: (212) 272-2000~~Exhibits.

(a) Not ~~Applicable~~applicable.

(~~Former Name or Former Address, if Changed Since Last Report~~b) Not applicable.

(d) ~~Item 8.01. Other Events.~~ Exhibits:

The consolidated financial statements of the Certificate Insurer and subsidiaries as of December 31, 2004 and 2003 and for each of the years in the three-year period ended December 31, 2004, prepared in accordance with U4.S. generally accepted accounting principles, included in the Annual Report on Form 10-K of Ambac Financial Group, Inc. (which was filed with the Securities and Exchange Commission (the “Commission”) on March 15, 2005; Commission File No. 1~~-10777)~~ Trust, ~~the~~Pooling ~~unaudited consolidated financial statements of the Certificate Insurer~~ and ~~subsidiaries~~Servicing as of June 30, 2005 and for the three- and six-month periods ended June 30, 2005 and June 30, 2004 included in the Quarterly Report on Form 10-Q of Ambac Financial Group, Inc. for the period ended June 30, 2005 (which was filed with the Commission on August 9, 2005), the unaudited consolidated financial statements of the Certificate Insurer and subsidiaries as of March 31, 2005 and for the three-month periods ended March 31, 2005 and March 31, 2004 included in the Quarterly Report on Form 10-Q of Ambac Financial Group, Inc. for the period ended March 31, 2005 (which was filed with the Commission on May 10, 2005), and the Current Reports on Form 8-K filed on April 11, 2005, April 20, 2005, May 5, 2005, July 20, 2005 and August 2, 2005 and the information furnished and deemed to be filed under Item 2.02 contained in Ambac Financial Group's Current Report on Form 8-K dated and filed on October 19, 2005, as they relate to the Certificate Insurer, are hereby incorporated by reference into this prospectus supplement and shall be deemed to be a part hereof. Any statement contained in a document incorporated in this prospectus supplement by reference shall be modified or superseded for the purposes of this prospectus supplement to the extent that a statement contained in this prospectus supplement by reference also modifies or supersedes such statement. Any statement so modified or superseded shall not be deemed, except as so modified or superseded, to constitute a part of this prospectus supplement.Agreement

~~Item 9~~99.~~01.~~1 Mortgage ~~Financial~~Loan ~~Statements,~~Purchase ~~Pro Forma Financial Information and Exhibits.~~Agreement

~~(a)~~99.2 Auction ~~Not~~Administration ~~applicable~~Agreement

~~(b)~~99.3 ISDA ~~Not~~Master ~~applicable~~Agreement, Schedule to ISDA Master Agreement and swap confirmation

~~(c)~~99.4 Cap ~~Exhibits~~Agreement re: Class A-1 Certificate

2399.15 Cap ~~Consent~~Agreement ofre: ~~KPMG~~Class ~~Independent~~A-2 ~~Registered Public Accounting Firm.~~Certificate

99.6 Cap Agreement re: Class A-3 Certificate

99.7 Cap Agreement re: Class A-4 Certificate

99.8 Countrywide Reconstituted Servicing Agreement

99.9 Wells Fargo Reconstituted Servicing Agreement

99.10 ABN AMRO Reconstituted Servicing Agreement

99.11 Bank of America Reconstituted Servicing Agreement

SIGNATURES

Pursuant to the requirements of the Securities Exchange Act of 1934, the Registrant ~~registrant~~ has duly caused this report to be signed on its behalf by the undersigned hereunto duly authorized.

STRUCTURED ASSET MORTGAGE INVESTMENTS II INC. ~~(Registrant)~~By: /s/ Joseph T. Jurkowski, Jr. Name: Joseph T. Jurkowski, Jr. Title: Vice President

ByDated: ~~/s/~~January ~~Baron~~10, ~~Silverstein Name: Baron Silverstein Title: Vice President~~2006

~~Dated: October~~EXHIBIT ~~28, 2005~~INDEX

Exhibit ~~23.1~~Number Description of Exhibit

~~CONSENT~~4.1 OFTrust, ~~INDEPENDENT~~Pooling ~~REGISTERED~~and ~~PUBLIC~~Servicing ~~ACCOUNTING~~Agreement, ~~FIRM~~dated as of December 1, 2005, among the Registrant, U.S. Bank National Association, Wilmington Trust Company, Wells Fargo Bank, N.A. and Thornburg Mortgage Home Loans, Inc.

~~The~~99.1 ~~Board~~Mortgage Loan Purchase Agreement, dated as of ~~Directors~~December 1, 2005, between Thornburg Mortgage Home Loans, Inc. and the Registrant.

~~Ambac~~99.2 ~~Assurance~~Auction ~~Corporation:~~Administration Agreement, dated as of December 22, 2005, between Greenwich Capital Derivatives, Inc. and Wells Fargo Bank, N.A.

~~We consent to the incorporation by reference in the registration statement (No~~99.3 ~~333-120916)~~ISDA ofMaster ~~Structured Asset Mortgage Investment II Inc. (the “Registrant”)~~Agreement, inSchedule ~~the Prospectus and in the Prospectus Supplement of the Registrant relating~~ to ~~GreenPoint~~ISDA ~~Mortgage~~Master ~~Funding~~Agreement ~~Trust~~and ~~2005-AR5~~swap ~~(the~~confirmation, ~~“Prospectus~~each ~~Supplement”) of our report~~ dated ~~March 2, 2005 on the consolidated financial statements of Ambac Assurance Corporation and subsidiaries~~ as of December 3122, ~~2004 and 2003~~2005, ~~and~~between ~~for~~Greenwich ~~each~~Capital ~~of the years in the three-year period ended December 31~~Derivatives, ~~2004, which report appears in the Annual Report on Form 10-K of Ambac Financial Group,~~ Inc., ~~which was filed with the Securities~~ and ~~Exchange~~Wells ~~Commission~~Fargo ~~on March 15~~Bank, ~~2005, and to the reference to our firm under the heading “Experts” in the Prospectus Supplement~~N. ~~Our report refers to changes, in 2003, in Ambac Assurance Corporation’s methods of accounting for variable interest entities and stock-based compensation~~A.

~~/s/~~99.4 ~~KPMG~~Cap ~~LLP~~agreement, dated as of December 22, 2005, between the Royal Bank of Scotland plc and Thornburg Mortgage Securities Trust 2005-4, relating to the Class A-1 Certificates.

~~October~~99.5 28Cap agreement, dated as of December 22, 2005, between the Royal Bank of Scotland plc and Thornburg Mortgage Securities Trust 2005-4, relating to the Class A-2 Certificates.

99.6	Cap agreement, dated as of December 22, 2005, between the Royal Bank of Scotland plc and Thornburg Mortgage Securities Trust 2005-4, relating to the Class A-3 Certificates.

99.7	Cap agreement, dated as of December 22, 2005, between the Royal Bank of Scotland plc and Thornburg Mortgage Securities Trust 2005-4, relating to the Class A-4 Certificates.

99.8	Reconstituted Servicing Agreement dated as of December 1, 2005, by and among Thornburg Mortgage Home Loans, Inc., Countrywide Home Loans, Inc., U.S. Bank National Association, and acknowledged by Wells Fargo Bank, N.A.

99.9

Reconstituted Servicing Agreement dated as of December 1, 2005, by and among Thornburg Mortgage Home Loans, Inc. and Wells Fargo Bank, N.A. and acknowledged by Wells Fargo Bank, N.A. and U.S. Bank National Association between the Royal Bank of Scotland plc and Thornburg Mortgage Securities Trust 2005-4, relating to the Class A-4 Certificates.

99.10

Reconstituted Servicing Agreement dated as of December 1, 2005, by and among Thornburg Mortgage Home Loans, Inc., ABN AMRO Mortgage Group, Inc. and Thornburg Mortgage Securities Trust 2005-4 and acknowledged by Wells Fargo Bank, N.A.

99.11

Reconstituted Servicing Agreement dated as of December 1, 2005, by and among Thornburg Mortgage Home Loans, Inc., Bank of America, National Association, U.S. Bank National Association, and acknowledged by Wells Fargo Bank, N.A.

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