When she objected, he abused her, she claimed.
The incident took place near the Chhatrapati Shivaji Maharaj Terminus in south Mumbai this evening, the journalist said in her post on social media.
The man, in civil dress, forcibly entered and sat on the front seat of the taxi as it was stuck in traffic, and asked the driver to drop him at his destination, the woman said.
The journalist, however, asked the driver not to move until the man got down.
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There was a heated argument and the man hurled swear words at her, saying "tere baap ki gaadi nahi hai" (it's not your father's cab), she said.
She stood her ground and finally he had to get down from the taxi, she added.
After getting information about the incident, Joint Commissioner of Police (law and order) Deven Bharti called her and assured that police would probe the incident and strong action would be taken against the person whether he was a policeman or not, the journalist said.
"We are trying to find out what exactly happened and zero in on the man who misbehaved with the woman," DCP Sharma told PTI.
Police were also examining the CCTV footage of the spot. No case has been registered yet.