Gov. Kathy Hochul of New York on Thursday proposed several measures that would restrict hedge funds and private-equity firms from buying up large numbers of single-family homes, the latest in a string of populist proposals she intends to include in her State of the State address next week.

The governor wants to prevent institutional investors from bidding on properties in the first 75 days that they are on the market. Her plan would also remove certain tax benefits, such as interest deductions, when the homes are purchased.

The proposals reflect a nationwide effort by mostly Democratic lawmakers to discourage large firms from crowding out individuals or families from the housing market by paying far above market rate and in cash, and then leasing the homes or turning them into short-term rentals.

Activists and some politicians have argued that this trend has played a role in soaring prices and low vacancy rates — though low housing production is widely viewed as the main driver of those problems.

If Ms. Hochul was inviting a fight with the real estate interests who have backed her in the past, she did not seem concerned. She even borrowed a line from Jimmy McMillan, who ran long-shot candidacies for governor and mayor as the founder of the Rent Is Too Damn High Party.

“The cost of living is just too damn high — especially when it comes to the sky-high rents and mortgages New Yorkers pay every month,” Ms. Hochul said in a written statement.