State lawmakers and Gov. Andrew Cuomo announced a three-way framework budget agreement on Sunday night as the state heads toward the passage of its fifth on-time budget in as many years.

The budget includes a $1.6 billion spending increase for education, with $1.33 billion earmarked for school aid.

A number of the governor’s sought-after education and disclosure reforms were included in the finalized agreement with the Democratic-led Assembly and Republican-controlled Senate, though in altered forms.

Cuomo’s $1.5 billion proposal for upstate economic development also remains in the budget, which will be doled out on a competitive basis.

Overall, state spending in the budget is expected to grow by 2 percent over the current fiscal year, which ends Tuesday.

This appeared to be one of the more difficult spending plans for Cuomo to negotiate since he first took office in 2011.

Senate Republicans had been hesitant to embrace new disclosure proposals pushed in the wake of Assembly Speaker Sheldon Silver’s arrest on federal corruption charges.

Meanwhile, Assembly Democrats balked at a number of the education reform measures Cuomo had pushed.

But as the details emerge of the agreement from a senior administration official, Cuomo does appear to have won the inclusion of some of the education proposals, albeit with changes.

The agreement includes a new teacher evaluation criteria that will include both state-based tests as well as principal and independent observation. School districts can opt for a second test for teacher evaluations developed by the state Department of Education, according to an administration official.

However, Assembly Speaker Carl Heastie on Sunday night said the deal would vest more power in the Department of Education to set the evaluation criteria.

Fully fleshed out details on the evaluation criteria are expected to be included in budget bills.

Teacher evaluation criteria would be tied to tenure: Three out of four years a teacher must be given a rating of at least “effective” in order to receive tenure.

On the inverse, teachers that are deemed to be “ineffective” for two years in a row could be removed within 90 days. Teachers rated ineffective for three years in a row could be removed within 30 days.

School districts must implement the new evaluation criteria by November, and doing so is linked to state education aid, the administration official said.

An administration official insisted on Sunday evening said the new evaluation criteria would need to be included in new contracts between teachers and districts, but would not be subject to collective bargaining with local units.

“It’s in the law,” the official said.

The budget includes a plan for school receivership. Schools deemed to be struggling or “failing” have a school district put forward a turn around plan to the state Department of Education, which could either approve the plan or have the school taken over by an independent monitor.

A NYC official briefed on the plan pointed some local control components for the city education chancellor.

The first batch of schools up for review would have to be deemed “failing” over the last 10 years, with the second batch deemed “failing” for the last three years.

The fight over education policy in the budget was one of the more pitched in recent years, as Cuomo tangled with the highly organized teachers unions both in the city and statewide.

Both the New York State United Teachers and the United Federation of Teachers accused Cuomo of strengthening charters at the expense of public education and as way of rewarding the deep-pocketed campaign contributors who also support charter networks.

While Assembly Democrats resisted the education proposals, Cuomo faced opposition to his disclosure of legal clients from Senate Republicans.

Cuomo in February first proposed a package of ethics reforms following the arrest of Silver, who is accused by federal prosecutors of masking legal referrals as bribes.

In the end, lawmakers agreed to report their legal clients to either the Joint Commission on Public Ethics or the Office of Court Administration.

Lawmakers could appeal to OCA if they feel their legal client does not have significant state interests, with that office ultimately determining whether the client’s name is redacted.

Both JCOPE and the OCA would report the information by 2016.

In the end, a lifting of the statewide cap on charter schools was not included in the final budget agreement, which could ultimately be tied to the re-approval of mayoral control in New York City, which expires in June.

At the same time, Cuomo was not able to win agreements on measures he proposed in January, including the passage of the DREAM Act, which provides tuition assistance to undocumented immigrants and the education investment tax credit, which is aimed at spurring donations that aid public schools and private-school scholarships.

The budget does not include a minimum wage increase or Cuomo’s proposal for property taxes through the circuit-breaker, which ties relief to a household’s income.

Cuomo acknowledged on Saturday this year’s budget was the toughest he’s negotiated in Albany, though state lawmakers over the last several days had said they were close to striking an agreement.

Messages of necessity for the remaining budget bills are expected to be issued, and voting will begin Monday.