Wearing a lawyer's robe and wig, Kajwang was one of the people flanking Odinga as he took the "oath" as the people's president yesterday at Uhuru Park before thousands of his supporters.
The man who swore in Mr Odinga has been arrested, his lawyer said.
Three Kenyan TV stations will stay off the air indefinitely as the government investigates a "swearing in" of opposition leader Raila Odinga, the interior minister said on Wednesday, following the symbolic but direct challenge to President Uhuru Kenyatta.
Ruaraka Member of Parliament Tom Joseph Kajwang has been arrested over NASA's Controversial Oath taking.
The broadcasting signals of NTV, KTN and Citizen were switched off Tuesday, but Kenyans watched the live coverage on social media and global TV channels.
Matiang'i said what was witnessed at Uhuru Park on Tuesday was a well-choreographed attempt to subvert or overthrow the legally constituted government of Kenya. "Media houses will remain closed until we complete investigations", he said.
"The investigations will extend to co-conspirators and facilitators", he said, promising appropriate legal action against those found culpable.
It is not known how long Kenyatta's government will maintain the shutdown of the three popular broadcast stations.
A Communications Authority spokeswoman said its senior managers were in a meeting and would comment later.
If my arrest and prosecution will be the ultimate price I must pay for my role in Swearing of the People's President, so be it.
"This sets a very worrying tone for the country and really reveals to us that the state's supposed commitment to constitutional order is very brittle if there at all".
'The heightened assault on freedom of the media and expression risks further damaging Kenya's reputation in the world as a rights-respecting nation'.
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Consequently early in the day, the security personnel was withdrawn from the venue saying the decision was reached at to prevent any bloody showdown as a result of confrontation between NASA supporters and the police who had already started to arrive.
Simon Maina, the Kenya editors' guild vice chairman, said Kaikia has only described his "personal position" and distanced himself from the chairman's statement.