Police Minister Rene Hidding confirmed on Thursday night that action had been taken.

“We understand the driver in question is not currently on the route in question,” he said.

EARLIER: Metro allows a violent father to drive his stepson's bus to and from school everyday, despite the child being at the centre of an ugly family violence dispute between the man and the boy’s mother.

A text message from the stepfather to the mother, obtained by Fairfax Media, reveals the man also threatened the boy’s wellbeing on February 8.

The man, whose identity and location cannot be published, was convicted of assaulting the mother and her new boyfriend in front of the child and his sister in March 2016.

But Metro refuses to remove him as the boy's bus driver, despite being aware of the text message and his conviction.

The text was forwarded to police this week as evidence of a breach of the pair's current Police Family Violence Order that is due to expire next month.

The woman says she's terrified of what might happen and believes it's only a matter of time before the situation escalates.

An email exchange between the mother and a senior Metro employee shows the mother asked in November for the driver to be taken off her son's school route.

The employee said there was nothing Metro could do because only she was protected by the PFVO, not the boy.

"Your son... is not on the Family Violence Protection Order that you have provided us. If there is another Family Violence Protection Order can you please provide me with a copy?" An email from the employee reads.

"In the meantime (the boy's father) will continue to be a bus operator for Metro."

In a statement, a Metro spokesman said steps were taken to alleviate risk "in situations where we are formally advised of restrictions on a driver".

“All Metro operational employees are subject to background investigation including a police check, and are required to hold and maintain a valid Working with Vulnerable People registration,” he said.

The mother has called on Police Minister Rene Hidding to improve background check protocols for the public transport sector.

"How many of our children are subjected to these sorts of people?” She said.

Mr Hidding’s department briefed police on the issue last week.

"The government takes any allegation of family violence very seriously," he said.

"We have passed this matter onto Tasmania Police. Any further action would be a matter for them."