He voluntarily attended a police station and was bailed.
A statement from the Metropolitan Police said: "We can confirm that a 48-year-old man voluntarily attended a north London police station on Tuesday, 2 December where he was arrested, following an allegation of rape in central London.
"He has been bailed to a date in early January 2015 pending further enquiries."
Mr Pritchard has been MP for The Wrekin since 2005.
E&OE google.com/+JulianBray All Enquiries 01733 345581 BROADCAST ISDN DIRECT LINK: 01733 345020 [G722 Codec] . . http://feeds.feedburner.com/BraysDuckhouseBlog