Stagecoach East Scotland has launched an investigation after Rosie Randall was abandoned in Cumbernauld, North Lanarkshire.
The schoolgirl was returning from her drama school in Glasgow on the M80 when there was a smell of burning rubber and she was asked to leave the bus.
After 40 minutes waiting on the hard shoulder a replacement bus took her to Cumbernauld where she was left on Saturday evening.
Her father, Phil Randall, 46, was left "angry and bewildered" when his "very upset" daughter called him to tell him what had happened. It took him 90 minutes to drive to collect her.
He said:"I don't want an apology, I want assurances that something is put in place so that this never happens again."
A spokeswoman for Stagecoach East Scotland said: "One of our vehicles operating route X24 on Saturday evening suffered a breakdown outside of Glasgow.
Passengers continuing to Fife were able to use the next journey. However it seems this was not communicated to these customers and we will proceed with a full internal review to improve these procedures. We would also like to apologise for any inconvenience caused."