The junta said it took the action to ease the burden on people's lives and because those areas were peaceful. In three of the provinces, several districts remained under curfew.
The military imposed a curfew in all 77 provinces on May 22 when it seized power from a civilian government, saying that months of protests had made the country ungovernable.
The curfew had already been reduced to four hours from seven hours, and lifted in several provinces and resort areas popular with tourists.
A separate announcement from the junta extended from today to June 25 a deadline for surrendering privately held weapons of war to the authorities. It said those missing the deadline could face two to 20 years in prison.
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Such weapons are fairly common in Thailand, which borders nations that went through decades of warfare.
The army has been publicising the discovery of arm caches in an effort to show that it is combating the threat of conflict among contending political forces.