Dennis Teal was last seen at 1pm on Monday, April 1 walking towards Hemsworth.
Mr Teal has grey hair and had a blue back pack with him and blue walking boots on.
West Yorkshire Police issued their appeal on Twitter at about 7.45pm today (Monday).
It read: "Dennis Teal, 79yrs is currently missing from Pontefract. Dennis was last seen at 1pm this afternoon walking towards Hemsworth.
"Dennis has grey hair and had a blue back pack with him and blue walking boots on."
Police have asked anyone with information or sightings to ring 101 and quote log 1313