Speaking for the first time about her break up, the supermodel - who has been married to singer for seven years - took to her twitter account to praise her supporters for their "kind words" and described them as the "best fans in the world".
She wrote: "Hi everyone, I want to thank u for all your support & kind words.Really means so much. Thanks again...to the best fans in the world! xoHeidi (sic)"
Heidi had not tweeted since the pair announced their separation earlier this month, but the 'Kiss From a Rose' hitmaker recently said the former couple do not plan to get a divorce.
He explained: "There is nothing to reconcile. We haven't fallen out. We're not getting divorced. We're not even legally separated. We are separated.
"The reality of the situation is we have grown apart. And so ... is there a chance of us getting back together? Honestly, I don't know. I don't know The Answer to that."
The pair - who have four kids, Leni, seven, Henry, six, Johan, five, and two-year-old Lou, together - previously revealed they had decided to part ways after "after much soul-searching".
They said a statement: "We have had the deepest respect for one another throughout our relationship and continue to love each other very much, but we have grown apart."