The "Project Runway" star and British recording artist are the parents of four children. They confirmed last Monday they are no longer a couple.
Klum's message of gratitude to her fans was her first tweet since Jan. 15.
"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" the Twitter posting said.
Notable deaths of 2014 [PHOTOS]