Andrew Ward, 36, was last seen at Buzz Bingo on Stonebridge Lane, Leeds at 9.30pm on Sunday, April 21.
The force describe him as a white male, of slim build, pale complexion who was wearing a black T Shirt, blue jeans and blue and white trainers.
They tweeted: "Missing - Andrew Ward aged 36. Last seen at Buzz Bingo, Leeds at 9.30pm on April 21, 2019.
"He is a white male, slim, pale complexion, black t shirt, blue jeans & blue and white trainers.
"We have serious concerns for his safety."
Anyone with information about Mr Ward's whereabouts is asked to call 101 and quote crime reference number 561 22/4/19.