Mr Houston – who also doubles up as the Scottish national side’s assistant manager – had been working as a radio pundit at a match between St Johnstone and Aberdeen on 13 December last year.
As the United chief headed back to Dundee he was caught by police officers on the city’s Kingsway travelling at almost 75mph in a 50mph zone.
Mr Houston, 53, of Baillieston, Glasgow, did not appear in person yesterday. His solicitor, John Boyle, tendered a plea of guilty.
Mr Boyle told the court that Mr Houston had seven points on his driving licence over a previous road traffic matter.
He said: “ He had been working all day and was tired and failed to pay attention to the speed he was travelling at.”
Justice of the Peace Caroyln McLeod put three points on his licence and fined him £200.