Senate Republicans will introduce a one-house budget bill that rejects Gov. Andrew Cuomo’s proposal for property tax relief, but also makes the current cap on levy increases permanent.

According to a Senate source, the Republican conference will introduced a property tax rebate for STAR-eligible homeowners. Combined with the existing credit — dubbed by Cuomo a “freeze” when it was introduced last year — homeowners will receive an average check of $458.

The proposal does not include Cuomo’s circuit-breaker plan for property taxes, which would tie relief to an individual household’s income.

But the Senate source pointed to the 3.3 million homeowners estimated to be aided under the GOP conference’s plan.

The tax cap, first passed in 2011, is due to expire next year. But the cap’s life span is tied to rent regulations, which are due to expire in June of this year.