The State Department statement, however, also said the US was "gravely concerned" by Tuesday's ceremony and rejected actions that undermine the rule of law in Kenya.
"TAEF calls on the government of President Uhuru Kenyatta to apologise to the nation for the criminal and unconstitutional act".
The court's decision - to suspend the shutdown for two weeks while a case challenging the legality of the government's action is heard - will boost the newly-independent judiciary's image in East Africa's regional powerhouse and wealthiest economy.
The first election, held in September 2017, was annulled by the court following alleged irregularities.
An opposition lawmaker who stood beside Odinga and wore judicial dress was arrested Wednesday and charged with unlawful assembly and giving consent to Odinga administering an illegal oath. "Grievances must be resolved through appropriate legal mechanisms", said in a statement delivered by the spokesperson of the US State Department, Heather Nauert, on Thursday evening.
The statement continued that It was sad to see Kenya, which has been one of the leading media freedom lights on the continent, descending into a country where this freedom is under serious threat.
"All actors should contribute to calm".
But the government has warned that Tuesday's events amount to treason - an offense punishable by death, according to Kenyan law.
Mr Kajwang" was also present when Mr Odinga took the "oath'.
All three have since promised to give a comprehensive statement on why they stayed away, only saying so far that what happened to them that day was "incomprehensible". Authorities cut transmission for the media outlets Tuesday as they prepared live coverage of the opposition's swearing-in event. Following the shutdown, three NTV journalists, fearful of arrest by Larry Madowo, Linus Kaikai and Ken Mijungu said they remained holed-up in the newsroom after their police sources tipped them that officers planned to arrest all three."We have not broken any laws ... we were just doing our jobs and I have no apologies about that", Madowo told CNN by phone from Nairobi.
The National Resistance Movement, which is a part of the Nasa coalition, was also proscribed in a Gazette notice signed by the Cabinet Secretary for the Interior, Dr Fred Matiang'i.
Opposition groups have accused the Kenyan government of violating the public's right to information about important events.
Despite the precarious position that the country finds itself in, the United States has commended security agencies for showing restraint during the Tuesday ceremony. We are also concerned at the Government's attempts to interfere with the rights to freedom of expression by reportedly warning that participation in the "inauguration ceremony" would lead to revocation of licences.