Aidan Burley MP took to Twitter to convey his "deep regret" at the "inappropriate behaviour" at last weekend's bash.
Some of the Cannock Chase MP's friends chanted "Hitler, Hitler, Hitler" according to today's Mail on Sunday newspaper.
One allegedly toasted the "Third Reich" as they partied in a French ski resort while another taunted a waiter for being French, it is claimed.
The MP was also filmed at a restaurant in Val Thorens, sitting next to another guest dressed in a black SS uniform and cap.
Embarrassed by his association to the incidents, Mr Burley, 32, tweeted: "Deeply regret inappropriate behaviour by some guests at stag party I attended and I am extremely sorry for any offence that was caused."
It is an embarrassment for the Government as Mr Burley is a senior aide to Transport Secretary Justine Greening.
A French police spokesman was quoted as saying: "Anti-Semitic and pro-Nazi crimes are taken extremely seriously in France.
"Anyone suspected of breaking the law in this respect can and will be prosecuted."