"We would urge that the situation in Rakhine State be handled with restraint and maturity, focusing on the welfare of the civilian population alongside those of the security forces," the foreign ministry said in a statement late Saturday.
"It is imperative that violence is ended and normalcy in the State restored expeditiously," it said, adding it was concerned about the outflow of refugees.
The call came days after Indian Prime Minister Narendra Modi made a state visit to the Buddhist-majority country amid spiraling violence in Rakhine that has forced nearly 300,000 Rohingya Muslims to flee.
Prime Minister Narendra Modi condemned a series of coordinated attacks by Rohingya militants on Myanmar troops and police on August 25, but did not comment on the subsequent violence against the Rohingya community and their mass exodus.
Myanmar does not want its 1.1 million Rohingya, who are seen as illegal immigrants from Bangladesh and are refused citizenship.
Successive regimes have historically discriminated against them even though many have lived for generations in Rakhine state.