INDIANAPOLIS -- The American Civil Liberties Union and Planned Parenthood of Indiana and Kentucky sued the state of Indiana on Thursday over its recently signed abortion law that bans the procedure if sought because of genetic abnormalities, calling the law unconstitutional.

The federal lawsuit, which also challenges a provision that mandates an aborted fetus be buried or cremated, seeks an injunction to keep the law taking effect on July 1.

"The United States Supreme Court has repeatedly stressed that a woman, not the state, is to determine whether or not to obtain an abortion," ACLU of Indiana Legal Director Ken Falk said at a news conference midday Thursday. "The State of Indiana's attempt to invade a woman's privacy and to control her decision in this regard is unprecedented and unconstitutional."

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Planned Parenthood of Indiana and Kentucky president and CEO Betty Cockrum said the law, which was passed by the GOP-led Legislature and signed by Gov. Mike Pence last month, shows the state doesn't respect women.

The law makes Indiana one of the most restrictive states in the U.S. for abortions, joining only North Dakota in banning abortions sought because of genetic fetal abnormalities. It's also spurred a campaign called "Periods from Pence," in which women call Pence's office to tell him about their periods, and a planned protest this weekend.

Pence's deputy press secretary, Stephanie Hodgin, said in an emailed statement that the Republican governor "has every confidence this law is constitutional."

"We will work with the Attorney General to defend the law that enhances information expectant mothers receive and enhances protection for the unborn," Hodgin said.

A statement from the state's Office of the Attorney General said challenges to passed laws are a part of the legislative process. "It is important to recognize that all laws passed by the elected legislators and signed by the Governor are presumed constitutional until a court determines otherwise, and I would ask that everyone respect this legal process," the statement said.

State Sen. Travis Holdman, the Markle Republican who sponsored the bill, would not comment on the lawsuit.

However, Indiana Right to Life, an anti-abortion group who backed the measure, leveled that Planned Parenthood has fiscal motives for the lawsuit.

"This is the same song and dance we have seen from the abortion provider anytime they feel their lucrative abortion business is threatened," group president Mike Fichter said in a statement. "They oppose any common sense law that protects women and children because they want to protect their bottom line."

The group also commended Pence, calling him, "a champion for the unborn and their mothers," CBS Indiana reported.

The lawsuit says the new law puts an "undue burden on women's right to choose an abortion" since it bans the procedure in some circumstances, even when the fetus won't survive. The suit also says women have a right to choose an abortion in the first trimester "for any reason."

Planned Parenthood said the bill also violates privacy rights. The organization does not ask patients why they are seeking an abortion, but the new law would require physicians to report if a fetal anomaly had been present prior to the abortion, which the groups say puts doctors at risk of being reprimanded. The law also requires fetuses to be buried or cremated, which the lawsuit called a costly requirement that does not exist for the disposal of medical waste for other types of operations.

The case will go to U.S. District Court Judge Tanya Walton Pratt, who in 2011 ruled against a law that would have prohibited entities who perform abortions from getting state funding.

North Dakota's Republican-led Legislature passed a measure in March 2013 that blocks abortions based on unwanted gender or a genetic defect. The state's sole abortion clinic, the Red River Women's Clinic in Fargo, has said the ban doesn't affect it in part because most genetic abnormalities are not detected until after 16 weeks into a pregnancy, when the clinic ceases providing abortions.

Minnesota, Oklahoma and Arizona require women to receive counseling on perinatal hospice services if they are seeking abortions because of a lethal fetal abnormality, according to the Guttmacher Institute, which supports legal access to abortion. Kansas requires counseling on perinatal hospice services before all abortions.

Indiana Right to Life commended Governor Pence, calling him, "a champion for the unborn and their mothers."