The incident took place at Farnley Convenience Store on Tong Approach at about 4.15pm on Wednesday.
Two men pulled up outside the store on a scooter before one, wearing a white and blue crash helmet with the visor missing, went inside.
He demanded money from the 59-year-old male shopkeeper and then fled the scene.
The man who entered the store is described as Asian, about 5ft 10in tall and with a long thin nose.
His accomplice was wearing dark clothing and a dark coloured crash helmet.
Police today issued a number of stills from CCTV footage of the raid.
Det Con Craig Rika, from Leeds District CID, said: “We are appealing for witnesses to what would clearly have been a frightening incident for staff inside the shop.
“I would ask anyone who saw two men pull up outside the store on a scooter or flee following the offence or who can help identify the offenders to contact myself at Leeds District CID on 101.
“Information can also be given to the independent Crimestoppers charity on 0800 555111.”