EX-99.906CERT

SECTION 906 CERTIFICATION

Pursuant to 18 U.S.C. § 1350, the undersigned officers of BlackRock High Income Shares Trust (the "Company"), hereby certifies, to the best of their knowledge, that the Company's Report on Form N-CSR for the period ended BlackRock High Income Shares Trust, (the "Report") fully complies with the requirements of Section 13(a) or 15(d), as applicable, of the Securities Exchange Act of 1934 and that the information contained in the Report fairly presents, in all material respects, the financial condition and results of operations of the Company.

Dated:     August 19, 2005               

     /s/ Robert S. Kapito                    
Name: Robert S. Kapito
Title: Principal Executive Officer

     /s/ Henry Gabbay                        
Name: Henry Gabbay
Title: Principal Financial Officer