The Conservative MP, who was born in East Kilbride, made the claim after travelling 0.06 miles in his North Somerset constituency from a concrete firm to a constituency surgery in 2012.
The Independent Parliamentary Standards Authority (Ipsa) notes the claim was paid last December. Mr Fox also had another 15 claims of under £1 for car travel approved in 2012/13.
These included 24p for a 0.54-mile journey from a constituency surgery to a school competition in Clevedon and 44p for a 0.98-mile journey from a meet your MP event at Winford Manor.
Ipsa paperwork shows Mr Fox claimed £3,866.31 in travel expenses in 2012/13, which includes rail fares.
Mr Fox, who worked as a GP before becoming an MP, tolda national newspaper: "I don't do my expenses. My office does them. But they are all done according to the rules for travel distances."