HOUSTON — Planned Parenthood sued Texas officials in federal court in Austin on Monday, seeking to block the state from cutting off its Medicaid funding, the latest in a series of lawsuits it has filed against Republican-led states after the controversy over its use of fetal tissue.

Texas and a handful of other states — including Alabama, Arkansas and Louisiana — have moved to eliminate Medicaid funding for Planned Parenthood amid the controversy. Secretly recorded videos that were released starting in July purported to show Planned Parenthood officials trying to illegally profit from the sale of aborted fetal tissue and discussing the issue with abortion opponents who posed as representatives of a biomedical firm.

Planned Parenthood said that the videos were deceptively edited and that the group did not do anything illegal or unethical. Its officials said the state’s decision to eliminate the group’s Medicaid funding, set to take effect as early as Dec. 8, was politically motivated and without merit.

The nonprofit organization’s lawsuit alleges that Texas violated federal law and the so-called Medicaid freedom of choice provision, which allows those enrolled in Medicaid to seek services from a qualified provider of their choice. The lawsuit also accuses Texas officials of singling out Planned Parenthood for “unfavorable treatment without adequate justification,” a violation of the 14th Amendment’s equal protection clause.