Facing a $4.6 billion deficit next year, Mayor Bloomberg is offering the same paltry pay package to city workers that Gov. Cuomo pushed through for state workers.

Sources said that in the first bargaining session this year with District Council 37, the city’s largest municipal union, mayoral aides proposed a five-year contract with no raises for the first three years and 2 percent increases in each of the following years.

The city also demanded a 10 percent premium for basic health- care coverage, increased employee contributions for pensions covering new hires, higher co-pays and deductibles, and lower city contributions to the union’s welfare fund.

DC 37 quickly rejected the offer as inadequate.

Cuomo convinced state workers to accept a three-year wage freeze by threatening to enact thousands of layoffs.

DC 37’s contract expired in March 2010.

In their previous contract, the union’s members won 4 percent raises in each of two years.

Union leaders had been worried that Cuomo’s sparse deal would set a pattern for the city. Their fears were realized in the DC 37 negotiating session on Nov. 10.