The singer announced their split on Instagram yesterday, reported People magazine.
"It is with (a) heavy heart that Chad and I announce our separation today. Through not only the marriage, but the music as well, we've created many unforgettable moments.
"We are still, and forever will be, the best of friends, and will always care deeply for each other. To all our family, friends and fans, thank you sincerely for the support."
Lavigne, 30, and Nickelback rocker Kroeger, 40, tied the knot in Canada in July 2013.
Lavigne returned to the stage for the first time last month since revealing her battle with Lyme disease.
While she has been on the mend lately, Kroeger has fallen ill himself.
After having a cyst removed from his vocal cords, Nickelback cancelled the rest of their 2015 tour dates because, per a statement from the band, he "must remain on vocal rest as ordered by doctors for the next six to nine months in order to fully recuperate."
