A 55-year-old man - understood to be House of Commons Deputy Speaker Nigel Evans - was re-arrested on suspicion of indecent assault and sexual touching when he answered bail today, Lancashire Police said.
These are understood to be two further allegations and he is being interviewed by police.
Speaking outside Preston police station this afternoon, Nigel Evans MP said:
Clearly we want closure of this as soon as possible and I carry on assisting this inquiry fully and openly.
I continue to refute all allegations, and in the meantime can I say that I'm extremely grateful for the huge amount of support and love that I have received from my family, my friends and my constituents, and indeed people throughout the country who have contacted me.
He was released on bail until September 10th pending further inquiries.
Conservative MP Nigel Evans has left a police station after being questioned on suspicion of three further assaults.
"I continue to refute all allegations," the deputy speaker told reporters.
Evans was arrested earlier when he answer bail for allegations that he raped one man and sexually assaulted another.
In May, the Deputy Commons Speaker Nigel Evans spoke of his "sense of incredulity" after he was arrested over two allegations, that he raped one man and sexually assaulted another.
He said: "The complaints are completely false and I cannot understand why they have been made."
Today he has been arrested on suspicion of three further indecent assaults.
Deputy Speaker Nigel Evans was arrested for three alleged indecent assaults when he answered bail today after his May arrest on suspicion of rape and sexual assault.
A 55 year old man from Pendleton in Lancashire has today answered his bail following his arrest in May on suspicion of rape and sexual assault.
He has subsequently been further arrested on suspicion of three further offences of indecent assault.
He will be interviewed about these allegations at a police station in Lancashire during the course of the day.
These offences are alleged to have been committed in Blackpool in Lancashire and London between 2003 and 2011.
The rape and indecent assault offences are alleged to have been committed in Pendleton between July 2009 and March 2013.
Police officers entered Parliament on Sunday to search the office of the Deputy speaker Nigel Evans, it emerged today. Mr Evans is under investigation by Lancashire detectives over allegations of rape and sexual assault, which he denies.
UK Editor Lucy Manning reports:
I wish to report to the house that the rooms of a member were searched yesterday pursuant to a warrant issued by the circuit judge in Preston Crown Court on 16 May. The warrant related to the investigation of a serious arrestable offence.
I should remind members, as did my predecessor in 2008, that the precincts of parliament are not a haven from the law...The investigation is continuing and it would not be right to comment further. I will not take questions on my statement.
The offices of Deputy Speaker Nigel Evans were searched by police on Sunday in connection with an investigation into allegations of rape and sexual assault.
Commons Speaker John Bercow said the offices were searched after an order was granted by Preston Crown Court on Thursday. He said he had been consulted before officers entered Parliament.
A spokesman for Lancashire Police said: "We have confirmed that we have searched offices in London in connection with the investigation but it is inappropriate to comment any further other than to say that we have gone through all the appropriate and necessary procedures before taking this step."
Mr Evans, the Tory MP for Ribble Valley, was arrested on May 4 on suspicion of raping one man and sexually assaulting another between July 2009 and March 2013.
He strenuously denies the allegations and has stepped aside from his duties in the Commons though he has not been suspended.
An MP's office in the House of Commons was searched by police yesterday in relation to a "serious arrestable offence" on the orders of Preston Crown Court, Commons Speaker John Bercow said.
A Commons spokesman says Deputy speaker Nigel Evans will not resume duties in the chamber while police investigations into allegations of rape and sexual assault continue.