Gov. Cuomo and Albany lawmakers quietly added a controversial provision to the $151 billion state budget that allows taxpayer money to pay for fertility services for poor women.

The new measure would authorize Medicaid, at a cost of some $5 million annually, to cover an array of medical services for women “in the process of ovulation enhancing drugs,” according to budget documents.

Conservatives pilloried the program, which sources said is a gift to an Orthodox Jewish community that has pressed for government-paid fertility services for 15 years.

“Why would we fund someone’s ability to procreate if the family is not in a position to cover their own health insurance?” Assemblyman Kieran Lalor (R-Dutchess County) said. “Medicaid takes up almost half the budget. We’re almost a health-care plan with a state on the side.”

Conservative Party Chairman Mike Long called the measure a “luxury giveaway.”

“The governor would say, ‘It’s because we’re compassionate and we take care of everybody,’ but at the same time . . . we’re picking everyone’s pockets due to high taxes,” he said.

The budget language says the law would cover costs of “office visits, [uterine X-rays], pelvic ultrasounds, and blood testing.” If federal Medicaid funding for those services “is not available,” the state would launch a grant program to pay for them.

Confusion reigns over whether the measure covers fertility drugs.

Lawmakers said the budget does provide coverage for ovulation therapies. But Cuomo’s office said the bill only covers medical services to monitor pregnancies of women in fertility treatment, and not the fertility drugs themselves.

The language is “jumbled and confusing,” analysts say.

“On its face it looks like it’s stating the state will cover ovulation-enhancing drugs, but the wording is ambiguous,” said Empire Center Health Policy Director Bill Hammond. “It appears to have been written hastily in the heat of complicated round-the-clock negotiations on a lot of other issues.”

Lawmakers never debated the proposal on the floor of the Capitol before voting on the budget in the middle of the night last weekend.

Senate Republican leaders pushed for its inclusion near the end of negotiations in an effort to please Brooklyn Sen. Simcha Felder, who represents a large Orthodox community in Brooklyn, insiders said.

Orthodox leaders called the budget measure a “significant victory” for women struggling to have kids in a community that traditionally values large families.

“This amendment will make it easier for women who would like to have children to do so,” said Jeff Leb, a top lobbyist for Jewish nonprofits.