US President Donald Trump, in a farewell address released on Tuesday, touted his legacy and wished luck to the new administration of President-elect Joe Biden but without acknowledging his successor by name. 

"This week, we inaugurate a new administration and pray for its success in keeping America safe and prosperous," the Republican president said in recorded remarks. "We extend our best wishes, and we also want them to have luck - a very important word."

In Tuesday's farewell, without specifically mentioning Twitter's decision to suspend his @realDonaldTrump account, Trump made reference to his complaint that free speech had been muzzled by the company.

"Shutting down free and open debate violates our core values and most enduring traditions," Trump said. "America is not a timid nation of tame souls who need to be sheltered and protected from those with whom we disagree."

In the recorded remarks Trump sought to highlight aspects of his presidency in which he took pride.

"We did what we came here to do, and so much more," he said. "I took on the tough battles, the hardest fights, the most difficult choices – because that's what you elected me to do."

Trump noted Middle East peace deals his administration brokered and lauded his foreign policy agenda.

"We revitalized our alliances and rallied the nations of the world to stand up to China like never before," he said. "I am especially proud to be the first president in decades who has started no new wars."

And the president suggested his movement would go on.

"Now, as I prepare to hand power over to a new administration at noon on Wednesday, I want you to know that the movement we started is only just beginning," Trump said.