Photos posted on Facebook showed the bodies of two men lying on the street in the northern town of Myitkyina. Witnesses said they were taking part in a protest when police fired stun grenades and tear gas. Several people were then hit by gunfire from buildings nearby.
One witness, who said he helped move the bodies, told Reuters two people were shot in the head and died on the spot. Three people were injured.
"How inhumane to kill unarmed civilians," said the witness, a 20-year-old man. "We must have our right to protest peacefully."
It was not immediately clear who fired on the protesters although both police and the military were at the protest, the witnesses said.
Police and military have killed more than 50 people to quell daily demonstrations and strikes against the Feb. 1 coup, according to the United Nations last week.
Crowds demonstrating against the coup gathered in Yangon as well as the second-biggest city, Mandalay and several other towns, according to videos posted on Facebook. Protesters in Dawei, a coastal town in the south, were protected by the Karen National Union, an ethnic armed group engaged a long-running war with the military.
Protesters waved flags fashioned from htamain (women's sarongs) in some places or hung them up on lines across the street to mark International Women's Day while denouncing the junta. Walking beneath women's sarongs is traditionally considered bad luck for men and tends to slow down police and soldiers.
State media said security forces were keeping a presence at hospitals and universities as part of efforts to enforce the law.
At least nine unions covering sectors including construction, agriculture and manufacturing have called on "all Myanmar people" to stop work to reverse the coup and restore Aung San Suu Kyi's elected government.
Allowing business and economic activity to continue would help the military "as they repress the energy of the Myanmar people", the unions said in a statement.
"The time to take action in defence of our democracy is now."
"FIGHT THAT FEAR'
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