Jack Raistrick, from Keighley, was seen at Airedale Shopping Centre at 9.50am on Saturday.
The 25-year-old is described as a white, five foot and six inches tall, of slim build, with short hair and a tattoo on his hand of 1999 and musical notes on his arm.
He was last seen wearing a maroon and black t-shirt, dark trousers, dark trainers and carrying a black rucksack.
Officers and his family are concerned for his welfare.
Anyone with information is asked to contact police on 101 or use the live chat facility, quoting log 614 of 16 April.