The encounter followed an operation launched in the Durama hills range across the Simsang River where 40 to 50 militants of the Garo National Liberation Army were holed up in a camp, Inspector General of Police G H P Raju said.
Commandos of Swift Weapons and Tactics (SWAT) and CRPF's Cobra Force were engaged in the encounter, Raju said.
The Centre yesterday rushed five companies each of BSF and CRPF to Meghalaya to assist the state government in maintaining law and order.
The Garo militants shot dead a 35-year-old tribal woman, a mother of four, with an assault rifle splitting her head in two claiming her to be a police informer after she resisted their attempts at molestation and rape in Raja Rongat village on June three.
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The GNLA in a statement had denied that the woman was molested or raped and said that she was 'executed' as she was a 'police informer'.
Union Home Minister Rajnath Singh and MoS (Home) Khiren Rijiju yesterday sought a detailed report of the horrific killing.
State Home minister Roshan Warjri met members of the husband and family members of the victim during the day.
The government had yesterday announced ex-gratia payment of Rs one lakh to the woman's family.
Fighting for a 'sovereign Garoland' in western areas of the state, the GNLA was co founded by a police deserter Champion Sangma and another militant Sohan D Shira and was active in all the five districts of the Garo hills region.