The government has already declared Nasa's National Resistance Movement (NRM) a criminal group, conducted a number of arrests, withdrawn bodyguards and revoked firearms licences of key opposition figures.
"If the government is in power on the basis of the existing Constitution, then it should honor a court-issued order", Mr. Odindo said.
"Government expected to restore NTV, Citizen TV and KTN News signals after High Court suspends switch off for 14 days pending case being heard", they tweeted.
However, the U.S. said that they were concerned by the government's action to shut down, intimidate, and restrict the media and urged the government and all Kenyans to respect freedom of expression and implement court orders calling for the restoration of television broadcasts.
Kenyan opposition leader, Raila Odinga, has been "sworn in" as the "people's president" by thousands of his supporters in the Kenyan capital, Nairobi, earlier this week.
Speaking with journalists on Wednesday, Mr Matiang'i said, "we have commenced investigations targeting individuals".
Kenyan police on Friday arrested an outspoken member of the opposition, Miguna Miguna, in a dawn raid on his Nairobi home, police and his party said.
Mr. Odinga has refused to recognize the legitimacy of Mr. Kenyatta's presidency and had threatened for months to "inaugurate" himself as "the people's president".
Okiya Omtatah, an activist who secured the ruling, said the court order had not been served on Thursday afternoon because of a delay at the court registrar's office.
"They released him at 10 with a stern warning not to come back", he told Reuters by phone "I have come here myself, but I am being been denied access".
"Uhuru Kenyatta was elected as President of the Republic of Kenya on October 26, 2017 in a poll that was upheld by Kenya's Supreme Court". "If the government does not comply with a court order that is so clear, it will raise questions as to the wider rule of law".
Elisha Otieno, a 50-year-old businessman in downtown Nairobi, said the stations should be allowed to reopen: "The government is not upholding its own laws".
The US also condemned the move by Communications Authority of Kenya (CA) to shut down media houses following their "defiance" to follow an alleged order from President Uhuru restricting the live coverage of the controversial event.
On Thursday another opposition leader who attended Tuesday's rally was arrested.