Police said Goings was arrested Friday evening as he was getting into his car outside a relative's place in Chicago. Goings has not made any statements to authorities and is not cooperating in the investigation, Lt. Denis Walsh said.
It was not immediately clear who was representing Goings. A message left at his Chicago law office Sunday was not returned.
Goings was due in bond court on Monday.
The bodies of 24-year-old Nova Henry and her 9-month-old daughter, Ava, were found in their Chicago apartment on Jan. 24.
Both died of multiple gunshot wounds.
Henry also was the mother of ex-Chicago Bulls player Curry's 3-year-old son, who was found unharmed at the scene.
Court records show that Goings was Henry's attorney in a paternity case with Curry involving Ava.
According to the Chicago Tribune, records show that DNA tests confirmed Ava was Curry's daughter. Curry, through Knicks spokesman Jonathan Supranowitz, declined comment. Messages left Sunday for his attorney were not immediately returned.
Police said Goings and Henry had "a relationship" and the motive for the shooting was "domestic related" but declined to elaborate.
According to police, Nova Henry let Goings into the apartment on Jan. 24 and the two quarreled.
"What happened inside that apartment will have to come out at a later date," Walsh told reporters Sunday. "There obviously was an argument."
Police said surveillance images and other evidence linked Goings to the case, but authorities declined to give details.
Goings has been practicing law since April 2005, according to state records.