"Hi all. Just a quick note to say that Miley and I have recently separated and I wish her nothing but health and happiness going forward," the actor said on Monday alongside a photo of a beach during sunset.
"This is a private matter and I have not made, nor will I be making any comments to any journalists or media outlets," Hemsworth, 29, continued.
"Any reported quotes attributed to me are false. Peace and love."
Cyrus, 26, announced the separation on Saturday through her representative.
"Ever-evolving, changing as partners and individuals, they have decided this is what's best while they both focus on themselves and careers. They still remain dedicated parents to all of their animals they share while lovingly taking this time apart. Please respect their process and privacy," the representative said in a statement.
Hemsworth and Cyrus tied the knot in December at their home in Franklin, Tenn.
Cyrus was recently spotted kissing reality television personality Kaitlynn Carter, 30, in Italy in photographs published by Entertainment Tonight.