It can be disabled in Mac OS X by editing the Chrome property list file.
Incognito Mode can be disabled in Google Chrome in Windows by editing the registry. Incognito Mode in Chrome is similar to Private Browsing in Firefox and InPrivate Browsing in Internet Explorer. This can be a concern for parents because it could allow children to view pornography or other inappropriate material without leaving behind any traces. Users can activate this mode and surf the internet without Chrome recording any cookies, usernames, passwords, or history.
Incognito Mode in Chrome is Google’s implementation of private browsing. Here is how to disable Incognito Mode in Chrome for both Windows and Mac OS X.