The alleged crime happened at 9:30 Sunday night in Levittown.
According to police, Tod Stolting, 48, approached the 26-year-old victim inside the Target on Hempstead Turnpike.
He is accused of forcibly placing both hands inside her shirt and groping her.
The victim began to scream, alerting Target employees, who notified police.
Investigators said Stolting ran from the store, an officer spotted him in the parking lot and placed him until arrest.
Stolting was not done yet, as police said he tried to get away from the officer.
He was ultimately taken into custody.
Stolting, a registered Sex Offender, is charged with sexual abuse, resisting arrest and related offenses.
He was scheduled for arraignment in First District Court, Hempstead on Monday.