  The $e^+e^-$ pair production in collisions of muon with atoms is considered
to all orders in the parameter $Z\alpha$. We obtain energy distribution of
$e^+$ and $e^-$ as well as energy loss of muon passing through matter with
heavy atoms. The found corrections to the Born contribution do not depend on
the details of the target properties except of a simple factor. For the
considered example of Pb target the muon energy loss corrections vary from -65
% to -10 % depending on the pair energy.
