The full statement reads: “It has been reported that an MP was arrested yesterday in connection with an allegation of rape.
“I am confirming that MP was me.
“The fact of the arrest requires a formal notification of the Speaker and then my Chief Whip.
“I have now been interviewed twice in connection with this incident, the first time three weeks ago, when I initially reported my concern over extortion.
“The second time was earlier this morning under caution following an arrest.
“The arrest was unnecessary as I remain ready to cooperate fully with the investigation that I am confident will end without charge.
“I do not intend to say anything further on this matter until the police have completed their inquiries.”
A Surrey Police spokesperson said: “We can confirm a man was arrested yesterday morning (25 October) on suspicion of rape and possession of controlled substances.
“He has been released on conditional police bail pending further enquiries.”
The Conservative Party declined to comment on a police investigation.