The animal was killed in the North Leeds area at the weekend according to West Yorkshire Police - Wildlife & Rural Crime.
The incident was one of more than 20 involving animals in less than 24 hours.
Anyone with information should contact police quoting crime number 13200348441.
West Yorkshire Police - Wildlife & Rural Crime posted: "In the last 24 hours there have been 20 incidents involving animals across the force area.
"A deer was shot in the Leeds 17 area.
"Crime recorded for killing a deer out of season crime number 13200348441.
"There were no other reports."