US President Donald Trump speaks at the Armed Services Ball in Washington, U.S., January 20, 2017. [Photo/Agencies]

Putin will congratulate Trump on his inauguration during the conversation as a "protocol necessity," Kremlin spokesman Dmitry Peskov was quoted by RIA Novosti news agency as saying.

A meeting between the two leaders will possibly be held in the coming months, rather than coming weeks, said the spokesman, adding that the specific date is expected to be discussed during the phone conversation.

As for violent anti-Trump protests, Peskov said Russia opposes meddling in other countries' internal affairs and thus the United States should handle the issue by itself.

Trump was sworn in as the 45th US president at an inauguration ceremony held Friday morning at Capitol Hill, overshadowed by occasional rain and violent protests.