Deadly attacks on security forces are relatively common in the disputed Indian-controlled Himalayan region, but Srinagar has been largely free from such incidents in recent years.
Clashes in Indian-held Kashmir after two militants killed
Police said two officers were shot dead while patrolling in the old part of the city. A third was shot dead in a business district less than an hour later.
"Three cops were killed in two different militant attacks," senior officer Ghulam Hassan Bhat told AFP in Srinagar.
The militant group Hizb-ul-Mujahideen claimed the attacks, but there was no official confirmation it was responsible.
One killed in fresh Kashmir clashes
Authorities said they were tightening security in already heavily militarised Srinagar in the wake of the attacks.
The last major assault on security forces in Srinagar was in June 2013, when suspected militants attacked an army convoy and killed eight soldiers the day before a visit by then Prime Minister Manmohan Singh.
Protester killed in fresh clashes in Indian-held Kashmir
Last year the city saw a series of grenade attacks on telecom company offices and paramilitary troop installations.
Kashmir has been divided between India and Pakistan since the end of British colonial rule in 1947. Both claim the territory in its entirety.
Several militant groups have since 1989 been fighting police or troops deployed in the Indian sector, calling for its independence or merger with Pakistan.
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