ALBANY — Bloomberg administration officials are charging that the fiscal budget passed by the Democratic-controlled Assembly would handcuff New York City’s ability decide how to spend its education money.

Led by Speaker Sheldon Silver, the Assembly approved a one-house budget Monday that would force the city to spend billions more on education aid, significantly enlarge its unionized teaching force, and eliminate a provision in Governor Spitzer’s budget allowing the city’s schools chancellor, Joel Klein, to open 50 new charter schools.

“It’s all stuff to tie our hands by telling us how much we have to spend and where we can spend it,” a Bloomberg official told The New York Sun.

A spokeswoman for Mr. Silver, Sisa Moyo, said, “The Assembly’s budget is a fair and balanced plan that meets the needs of all New Yorkers.”

Bloomberg officials say Mr. Silver’s spending plan is flawed in other respects. The mayor’s administration had hoped to get the Assembly to restore all of the unrestricted revenue sharing aid that Mr. Spitzer had eliminated in his budget. Under the Assembly’s plan, the city still loses $330 million in this fiscal year. Democrats also went along with Mr. Spitzer’s plan to eliminate tax loopholes in the state’s code, but preserved the loopholes in the city’s code, so that extra revenue from the closures would flow into the state’s coffers. Senate Republicans did not touch any of the loopholes in their one-house budget.

But though Mayor Bloomberg has yet to weigh in, the city’s biggest complaint appears to be with the Assembly’s education plan.

The Assembly budget proposal mandates that Mr. Bloomberg increase school spending by $2.2 billion by the 2010–11 academic year, putting into statute the mayor’s own revenue plan, which calls for a similar increase. City officials are wary of turning such a plan into law because they fear it would tie their hands in the event of a fiscal emergency.

Democrats also included a measure that would force Mr. Bloomberg to devise a plan to “achieve state median class sizes, as defined by the commissioner in all grades within four years.” Even taking into account the administration’s multiyear capital plan adding tens of thousands of school seats, it is unlikely the city would be able to bring down class sizes by that degree without dedicating a greater share of its education budget to hiring more unionized teachers.

Along with scaling back Mr. Spitzer’s charter school proposal, the measures were among the wish list of the New York City teachers union, whose president, Randi Weingarten, released a statement on Monday saying the Assembly “deserves an apple from teachers.”

Mr. Spitzer has said he is in favor of an expansion of charter schools and is supportive of mayoral control of the New York City school system. Talking to the Sun on Monday, Mr. Spitzer said, “Mayoral control is important in terms of city education, and part of mayoral control is then the capacity to control the allocation and granting of charters.”

With his fury directed at the Republican-led Senate, the governor isn’t likely to take a strong stand against the Assembly’s education measures.

Yesterday, Mr. Spitzer praised the Assembly’s spending plan while accusing Senate Republicans of relying on accounting tricks that would shame Enron executives. Mr. Spitzer’s aides placed the Senate’s all-funds budget at almost $124 billion, more than $3 billion higher than the Senate’s own figure, a discrepancy stemming largely from the Senate’s decision not to count its $2.6 billion property tax rebate plan as a form of spending.

The Spitzer administration appears to have allied itself with the Assembly to gain leverage over Senate Republicans, who not only shredded major components of Mr. Spitzer’s Medicaid plan — including his plan to extend health insurance to hundreds of thousands more children — but also scrapped the governor’s plan to give property tax breaks to middle-class homeowners.

It is possible that Mr. Spitzer is planning to grant the Assembly leeway on its education demands in exchange for its efforts to keep the governor’s property tax plan and Medicaid initiatives mostly intact.