After six weeks of cooking, Conran saw off competition from 19 other celebrities to be named champion by judges Gregg Wallace and John Torode, reported Digital Spy.
In the final, Louise Minchin, Jimmy Osmond and Conran faced off in two challenges, testing out their chef skills one last time.
"I can't believe it! I just can't believe it. I feel great. My family are going to be so proud. I was very happy with 'finalist' but I'll take 'champion', 'champion' sounds great," Conran said after his win.
Gregg said: "Alexis is a very, very worthy Celebrity MasterChef winner. Aligning that wonderful presentation with his Greek heritage has resulted in some of the best food I have ever seen in this competition.