Middleton began writing her "Sport and Social" column last September, but her contract has not been renewed.
"The readers just weren't into it. There was a lot of negative mail coming in after each column and there were too many off-limit subjects for her. They ran out of ideas," a Telegraph source told Us Magazine.
Middleton remains a contributor to Waitrose Kitchen and Vanity Fair magazines, however.
Her sister, Kate, married Prince William in 2011.