Solomon Islands police are investigating the death of a man near Malaita Province linked to last week's election.

It is alleged the death came after supporters of two election candidates got into an argument on Monday.

Assistant Police Commissioner Joseph Manelugu said during the argument, one of the supporters tried to swim to a nearby island but drowned.

The man's body was recovered by divers and he was pronounced dead at a clinic on Malaita Island.

Mr Manelugu called on the family of the deceased not to take the law into their own hands.

Solomon Islanders should respect each other and the outcome of the election, he said.

All election results are in but a government has not yet been formed.