A burglar broke into a property in Beeston while the occupants were upstairs.
The man stole a cash and a mobile during the break-in, which happened between July 16 and 17.
Now police want to speak to anyone who recognises the man pictured in this e-fit image.
PC Alana Scott, of the Leeds District Crime Team, said: “We are continuing enquiries into this break-in and would like to speak to anyone who could help identify the man pictured.
“Anyone who has information should contact myself PC 2129 Alana Scott at the Leeds District Crime Team - Team 1 - on 101.
“Information can also be given anonymously to the independent Crimestoppers charity on 0800 555 111.”