A city program that subsidizes rents for homeless families has run into resistance from landlords who got burned under a previous program.

Mitchell Posilkin, general counsel for the Rent Stabilization Association, the largest landlord organization in the city, said his members are being advised to proceed with caution.

“Our advice to them is essentially the old Latin expression of caveat emptor, which is buyer beware,” he told WNYC radio.

A previous subsidy program during the Bloomberg administration ended abruptly, leaving landlords with tenants who couldn’t pay their rents.

But City Councilman Steve Levin (D-Brooklyn) said the new vouchers are fully funded.

Levin also pointed out that it’s against the law to discriminate against tenants just because they’re getting subsidy checks from the city.

“A landlord can’t refuse somebody an apartment because the source of their income is not to their liking,” he said. “Landlords can’t say, ‘I’m going to take this sort of income but not that sort of income.’ ”

The city is providing $1 million in vouchers and offering landlords who sign the first 1,000 leases an extra $1,000 per apartment.

Chris Miller, a spokesman for the Department of Homeless Services, said the city is “concerned” about the situation, and he urged landlords to consider the impact of their actions during a housing emergency.

“These are people trying to rebuild their lives,” he said.

So far, the city has distributed the first 1,000 of 4,000 vouchers.