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At the start of the 90-minute show, viewers saw Martin Freeman as Dr Watson on the Tube, where he appeared to travel along three lines without switching trains.
In another segment in which Holmes and Watson are investigating a train journey made by a suspect, Sherlock concludes that the 'five-minute' journey between Westminster and St James's Park must have lasted ten minutes. In reality the one-stop journey takes less than two minutes
As the pair enter Westminster station, which is served by the District, Circle and Jubilee lines, they are inexplicably shown walking past a sign for the Northern line.
Viewers also pointed out that the carriage, which was shown carrying just one passenger, would have been full of people travelling home because it was the last train of the evening.
One fan, Wayne Moraghan, wrote: 'Might have enjoyed Sherlock more if there weren't so many inaccurate facts about the Tube, wrong lines, wrong stations, wrong times!' Lucy Burton added: 'More confused by Sherlock's appalling knowledge of the Tube than how he fell.'