In a statement here, she expressed sympathy with the family of the deceased.
The Chief Minister said she had directed that the next of kin of the policemen be granted a relief of Rs three lakh each from the Chief Minister's General Relief Fund.
Of the five cops, one was killed in a road accident while others died of natural causes, she said.
The Chief Minister also announced a compensation of Rs three lakh to the family of Balan, who was killed after being attacked by a wild elephant in Nilgiris district recently.