Mohammed Ahmed Ibrahim was convicted of theft and sentenced to having “his right hand amputated” the ministry said in a statement carried by SPA state news agency.
The punishment was executed in the western city of Mecca, home to the Muslim holy Grand Mosque, where the theft took place, it said.
The ultra-conservative kingdom applies the Islamic sharia law, including executions by the sword for people convicted of rape, murder, apostasy, armed robbery and drug trafficking.
Last year December, another Nigerian Abdulsamd Ismail Hausawa had his hand also chopped off for being involved in the tehft of gold, a pistol, a mobile phone and a car.
At intervals, Nigerians have also been beheaded for smuggling drugs into the Saudi Kingdom.