Mark Richard Lane, 41, was last seen when he left his home in May Street, off Beverley Road in the city, at around 1pm on Sunday, December 12, after telling his friend that he was planning to go for a walk.
Mr Lane is described as white, 5ft 10ins, with brown hair. He was last seen wearing a dark green Bench Benny hat, a light blue jacket with dark blue sleeves, blue jeans, and black safety work boots.
His friend is very concerned for his safety and he has told police that Mr Lane was depressed when last seen.
Mr Lane, or anyone who knows his whereabouts, is asked to contact Humberside Police on 0845 60 60 222.
Callers should refer to log 196 of December 19, 2010.