Humberside Police have issued a CCTV image of a man they want to trace in connection with the incident at a discount store in Wesley Street, Goole.
It happened just before 4pm on Wednesday November 16, but police only released details today.
Police said a woman shopping in the store was approached by a man who attempted to engage her in conversation, before grabbing her and forcibly kissing her.
He is described as olive-skinned, of broad build, around 6ft 2in tall, with a bald head. He spoke with an English accent and wore a long black coat, black shirt, black trousers and black shoes.
Anyone with information about the man’s identity is asked to call 101, quoting crime reference number 2229235.