Seal told reporters over the weekend that Klum lacked "class" for "fornicating with the help" before they were divorced, but later back-tracked and insisted that he never implied his wife was "cheating while they were together".
Klum has now released a statement to People in which she stressed that she is moving forward with her life without Seal.
She said: "I cherish all of the great memories Seal and I created together over the years. Our separation was based on issues between the two of us.
"Seal has moved on and so have I. My priority has and continues to be protecting and providing for our children."
A source close to Klum previously described her relationship with her bodyguard as "undefined", but added that the two are "very close".
Klum filed for divorce from Seal after six years of marriage in January, although proceedings are still ongoing due to alleged disagreements over the couple's finances.
Seal and Heidi Klum - Through The Years: