A bench of justices RM Savant and Revati Mohite-Dere was hearing a plea filed by Mr Kohli seeking that the complaint registered against him in the matter be quashed.
As per the plea, Mr Kohli and his girlfriend arrived at a settlement in the matter and she consented to the FIR being quashed.
Mr Kohli also paid monetary compensation to her, according to the plea.
Mr Kohli's father, film director Rajkumar Kohli, and his girlfriend were present in the courtroom today.
His counsel Satish Maneshinde told the court that the actor had only pushed the woman on the stairs, as a result of which she had sustained injuries. However, she told the court she didn't fall down the stairs.
At this, the bench said the records showed that this was not the first time Mr Kohli had been accused of assault.
The judges said that courts can't mechanically quash matters just because the parties come and ask for it.
"We have to think of the society also. This isn't the first time he has been accused of something like this. So, the least we expect is an affidavit expressing remorse and regret from him, and an assurance that he will not repeat this in future," the bench said.
Mr Kohli was arrested by the police from Lonavala in the neighbouring Pune district earlier this week and booked under IPC section 326 (voluntarily causing grievous hurt by dangerous weapons or means).
The metropolitan magistrate in Mumbai rejected Mr Kohli's bail yesterday and he was remanded to judicial custody.