More rent relief to roughly 11,000 New Yorkers with H. I. V. or AIDS can be in the offing as Gov. David A. Paterson has vetoed a bill that offers so.

It was stated that although the state’s financial condition is already strained and it is still unclear as to from where will the money needed for this step would come from.

Paterson said, “This is my most difficult veto. I recognize the history of the inadequacy of services government has brought to bear for those with H. I. V./AIDS. I have pledged not to impose unfunded mandates on cash-strapped localities, and to prevent the state from taking on additional financial burdens outside the budget process without an identified funding source.”

But if it was stated by the legislature that how would the cost estimated by the State Budget Division that comes to more than $20 million will be covered, Paterson would support the bill.

At the moment, people with HIV/AIDS spend more than 30 per cent of their income on rent, and this step would prevent people receiving housing assistance from the city’s H. I. V./AIDS Services Administration from doing so.

The bill was opposed by Mayor Michael R. Bloomberg following which a memo in January was sent to state senators saying that the city was set to spend $150 million on the program this fiscal year and it would mean an additional 10 per more if the new measure was to be followed.

But the bill passed the Senate, 42 to 19, and the Assembly, 84 to 54.