The US State Department earlier said the bridge impedes ship navigation and goods delivery in the area and therefore the United States is watching the situation regarding it closely.
"As one could predict, Washington is not happy with that. But Crimea is Russia," the embassy said in the statement on Tuesday. "We shall not ask for anybody’s permission to build transport infrastructure for the sake of the population of Russian regions."
Earlier in the day, Russian President Vladimir Putin opened the road section of the Crimean Bridge, which connects the Russian southwestern peninsula with the Krasnodar territory.
Since 2014, relations between Moscow and Washington have deteriorated because of the crisis in Ukraine and Crimea's reunification with Russia via a referendum. The United States and its allies do not recognize the results of the referendum, but Russia maintains that plebiscite was carried out in full accordance with international law.
The car traffic has also started from the Taman peninsula in southern Russia in Europe.