Undeterred, Zohrab sought special leave to appeal to the Court of Appeal, but a judgement released today dismissed that application also.
His convictions stemmed from a train ride on October, 18, 2012.
According to evidence accepted by Judge Arthur Tompkins at Zohrab's trial, he had become upset on the train ride when another male passenger shut the window above his seat without consulting him, on the request of a female passenger seated nearby.
Four eye-witnesses, including the complainant, told the court Zohrab then became abusive, swearing at the passenger who had shut the window.
Although the female passenger apologised, he continued to swear and shout abuse at her as well.
The court heard that was when the complainant - another female passenger - became involved.
Zohrab swore at her too, and then punched or pushed her in the chest after she "wagged" her finger at him.
Another passenger sitting behind Zohrab then restrained him and the police were called.
Zohrab denied swearing at anyone during the incident and said he did not assault the woman, claiming he was the victim of a conspiracy.
In his submission to the Court of Appeal, Zohrab claimed: "on the basis of my experience as a men's rights activist, I have reason to speculate that elements of the police and Justice systems might have a world view, according to which men tend to be bad and women tend to be good".
His submissions were not accepted by the Court of Appeal.