Antony Worrall Thompson, who went to school in Kent, says he is going to seek treatment after being cautioned for shoplifting.
The celebrity chef, who attended The King's School, Canterbury, issued a statement saying he is sorry for his "stupid and irresponsible actions".
He was caught stealing low-value items from the Henley branch of Tesco's in Oxfordshire on five separate occasions.
Worrall Thompson failed to pay for cheese and wine at the self-scan machines on five separate occasions. He was arrested in front of fellow shoppers.
Worrall Thompson said in a statement: "I am so sorry for all my recent stupid and irresponsible actions; I am of course devastated for my family and friends, whom I've let down and will seek the treatment that is clearly needed.
"I am not the first, and I certainly won't be the last person to do something without rhyme or reason - what went through my head, only time will tell.
"Of course, I must also apologise sincerely to Tesco, with whom I'm had a long and genuine working relationship, and to all the staff at the Henley branch, many of whom I've got to know over the years.
"Once again, I am so sorry and hopefully in the future I can make amends."