Assembly Speaker Sheldon Silver said today he plans to introduce his own property tax cap measure that includes a 2 percent ceiling on local levies, but will have some unspecified exemptions.

“You’ll see when we introduce it,” Silver said of the changes.

Silver, D-Manhattan, said he had spoken about his new separate measure with Gov. Andrew Cuomo.

“He didn’t say he was in favor of it, but obviously like you he’d like to see it,” Silver said.

The Republican-led Senate already approved Cuomo’s 2 percent cap on local and school property taxes. But the measure faces a significantly tougher climb in the Democratic-controlled Assembly.

Senate Majority Leader Dean Skelos, R-Nassau County, has said he doesn’t want the bill watered down to the point of being irrelevant.

The governor has said in recent weeks, including today, that he expects to negotiate a compromise bill on the tax cap.