The police officers who were killed were from the external security department in the town of Argun.
Three died at the scene and a fourth succumbed to his injuries later in hospital, said police.
Last Friday, two suicide bombers on bicycles killed four policemen in Grozny, in what the Chechen leader, Ramzan Kadyrov, said could have been aimed at killing him at a ceremony to mark his birthday.
Also, in neighbouring Ingushetia last week, suicide bombers killed 20 people and injured around 140 others.
Figures compiled by the BBC show that more than 400 people have died so far this year in the largely Muslim areas of Chechnya, Ingushetia and Dagestan.
One regional expert says there is no doubt the insurgencies in Chechnya and
Ingushetia are now on the rise, with increasing numbers of young men, some still
teenagers, joining militant organisations.