LONDON (Reuters) - One of Britain's most wanted fugitives killed two unarmed policewomen on Tuesday in a gun and grenade ambush, police said, killings which are likely to reignite a long-running debate over whether British officers should carry guns. Police constables Fiona Bone, 32, and Nicola Hughes, 23, were gunned down in a hail of bullets after responding to a hoax call about a burglary in the northern English city of Manchester. Despite shock over the murders, described by Prime Minister David Cameron as "despicable", senior police officers said they were determined that the British force would remain one of few in the world which is not routinely armed. Police said the two constables, one of whom was about to be married, had been deliberately lured into a trap by Dale Cregan, 29, a suspect in another double killing in the city. Cregan handed himself into a local police station after the shooting. Either Cregan or an associate made the false burglary report to lure the officers to the scene, said Greater Manchester Police Chief Constable Peter Fahy. "Then he has come out and shot and killed them both," Fahy told reporters, adding Cregan also threw a grenade at them. "Certainly, it would appear to be that he has deliberately done this in an act of absolutely cold-blooded murder. It's almost impossible to fathom such an evil act." Fahy did not offer any possible motive for the ambush. Witnesses reported hearing more than a dozen shots and an explosion. One of the officers died at the scene and the other in hospital, police said. Fahy said catching Cregan had been their top priority since the murder of David Short in August and the shooting of Short's son Mark in a pub in May. Local media said those killings resulted from a long-running family feud and police had offered a 50,000 pound ($81,000) reward for information leading to his arrest. Politicians and chief officers across the country spoke of their horror at Tuesday's shootings. "What we've seen is just (an) absolutely despicable act of pure evil," Cameron said in a statement. It is rare for British police officers, especially female constables, to be killed in the line of duty. Unlike the bulk of forces across the world, the overwhelming majority of Britain's 150,000 police officers do not regularly carry firearms, although every force has special armed units and some carry electric Taser stun guns. The last time more than one police officer was shot dead in the same incident in Britain was in the 1960s. In 2005, unarmed constable Sharon Beshenivsky was killed and a female colleague wounded when they went to investigate an armed robbery in the northern English city of Bradford. That led to a heated debate over whether Britain should arm its police, but Fahy, other senior officers and politicians again said they did not want officers to carry firearms. "We are passionate that the British style of policing is routinely unarmed policing," he said. "Sadly we know from the experience in America and other countries that having armed officers certainly does not mean sadly that police officers do not end up getting shot dead." Cameron said more armed units were now available than previously. "This was supposed to be the response to a domestic burglary and that wouldn't require armed officers," he said.