The U.S. Embassy said political differences should not be allowed to derail the democratic process. "Political parties, party leaders and legislators must work on a compromise solution that is constitutional, legal, and credible," it said.
It also stressed that "extra-legal maneuvering and calls for military intervention are neither appropriate, nor acceptable under international law."
A prolonged political crisis could wreak economic havoc in the Maldives, an Indian Ocean archipelago known for its luxury resorts. Last year, tourism accounted for 27 percent of the country's gross domestic product.
The country has faced much political upheaval in the five years since it held its first multiparty election in 2008 after 30 years of autocratic rule.
Its first democratically elected president resigned midway through his term amid weeks of public protests and a slide in support from the military and police after he ordered the arrest of a senior judge.