Senior Sinn Fein Stormont assembly member Gerry Kelly said the arrest and continued detention of Mr Adams was deliberately timed to coincide with the elections in three weeks' time.
This is political policing at its most blatant.
Sinn Fein will not be intimidated by the action of a small cabal in the PSNI who are opposed to the peace process and political change.
Lord Tebbit has come under fire after suggesting he hoped Sinn Fein politician Martin McGuinness would be "shot in the back".
The former Conservative chairman, who was himself injured in the 1984 Brighton hotel bombing, suggested Mr McGuinness' presence yesterday at a state banquet with the Queen might anger hardline Republicans.
"There's always the possibility that a member of the Real IRA will be so outraged by Mr McGuinness bowing to the Queen that they might shoot him in the back for it. We can but hope," he said.
Sinn Fein leader Gerry Adams expressed outrage at the comments, saying:
"To publicly advocate the assassination of Deputy First Minister Martin McGuinness is a shocking throwback to a violent past from which we are seeking to move on."
Sinn Fein leader Gerry Adams said there does not appear to be an agreement on outstanding peace process issues in Northern Ireland after days of negotiations.
Talks between Stormont's five main political parties on flags, parades and dealing with the legacy of the Troubles continued into the early hours of this morning.
Speaking at press conference, Mr Adams said: "I'm sure there will be a lot of disappointment as various people come to terms with the fact that there doesn't appear at this point to be an agreement.
"This compromise is far short of what we were proposing, but we think that the vast majority of people will want to see it embraced and that's why we have taken up a positive attitude towards it."
The paedophile brother of Sinn Fein president Gerry Adams has been sentenced to 16 years in prison after being found guilty last month of a string of sexual assaults against his daughter.
Liam Adams was found guilty of 10 offences against his daughter Aine Dahlstrom, who has waived her right to anonymity, when she was a child in the late 1970s and early 1980s.
The abuse was committed over a five-year period between 1977 and 1981, when she was aged between four and nine.
Adams' convictions have heaped further pressure on his brother to explain why he did not alert authorities to the abuse allegations when he first learned of them.
During a first trial earlier this year, which collapsed, the Sinn Fein leader claimed he first heard of the sex abuse claims in 1987 and, 13 years later, his younger brother admitted his guilt to him.
Sinn Fein leader Gerry Adams said he will attend a parade in west Belfast later today to "support the families of the Ballymurphy massacre".
Ahead of the march, Adams said he believes an independent panel should be appointed "to examine all of the documents relating to the context, circumstances and aftermath of the deaths" of 11 people during the Troubles.
Belfast's Lord Mayor, Sinn Fein's Mairtin O'Muilleor, has been attacked by loyalist protesters at the re-opening of a children's park in north Belfast.
Mr O Muilleoir, 53, required a police escort to evade angry protesters at the re-opening of a park in the staunchly unionist Woodvale area.
The high-profile businessman and city councillor said he was kicked and punched during the altercation. Police said nine of their officers were injured during the incident, although none required hospital treatment.
Community tensions are high in Woodvale after recent loyalist rioting over a decision to prevent three protestant Orange Order lodges parading past the nearby nationalist Ardoyne area.
Loyalists have accused Sinn Fein of waging a cultural war against their community.
Watch UTV's video of the incident: Police shield SF mayor from protesters
Sinn Fein leader Gerry Adams has criticised Lady Thatcher, saying "her Irish policy failed miserably":
Margaret Thatcher did great hurt to the Irish and British people during her time as British Prime Minister.
Working class communities were devastated in Britain because of her policies.
Her role in international affairs was equally belligerent whether in support of the Chilean dictator Pinochet, her opposition to sanctions against apartheid South Africa; and her support for the Khmer Rouge.
Here in Ireland her espousal of old draconian militaristic policies prolonged the war and caused great suffering.
Margaret Thatcher will be especially remembered for her shameful role during the epic hunger strikes of 1980 and ’81.
Her Irish policy failed miserably.
Paul Maskey, Sinn Fein MP for West Belfast says the community is shocked by the murder of a young father of one on Saturday night.
"Those who carried out this shooting should be ashamed of themselves" he said. "People are shocked that this is the Easter holiday period and people were in good form and someone, last night, was willing to go out and take the life of another individual".
Northern Ireland's Justice Minister David Ford has also condemned the murder. "There can be no cause that can justify the taking of a precious human life and no excuse can explain the suffering that results" he said. Both politicians urged any witnesses to the attack to speak to the police.
Francie Molloy has won the Mid Ulster by-election to fill the seat vacated by Martin McGuinness at Westminster.
Proud and humbled to win this victory for the people of Mid Ulster. Thinking of all those who have struggled to make days like this possible
Official result not in but we've won. Thanks to all who has voted for me and helped with the campaign. We'll build on our record of results.
Stormont's deputy First Minister resigned from the Westminster role in December.