Tasers should be available to all front-line police officers in England and Wales due to the increase terrorism threat.
This is the view of Steve White, head of the Police Federation, who said the tools would help officers defend themselves in the event of attack from potentially "dangerous people."
He told the BBC: "We've got to show our officers that we're taking the threat seriously."
Chief Constables' lead expert on armed policing said extended use of Tasers should be linked to risk assessment.
Simon Chesterman, deputy head of the Civil Nuclear Constabulary, is the Association of Chief Police Officers lead on armed policing, said he would support a wider roll out of tasers if linked to threat and risk assessment.
The federation is to vote on the proposal to offer all frontline officers Taser training next month. Some officers may choose not to carry one, however.
Mr White added: "We've got to make sure that we give them every opportunity to respond to the threat.
"Because it's not just their personal safety, it's the safety of the public as well."
In 2013, Tasers were deployed 10,380 times across England and Wales and there were 154 complaints about their use.
There have been a number of deaths related to the use of the stun guns.
Amnesty International UK's arms programme director Oliver Sprague said: "We've always said that Tasers can have a part to play in policing operations where there's a clear risk of death or serious injury to police officers or members of the public - but Tasers should be used sparingly and only by highly-trained officers."
