The 21-year-old’s ban is suspended for a year and he has also been fined £25,400 (30,000 Euros).
The midfielder’s crotch-grabbing gesture towards the Slovakian bench after scoring a late equaliser in the 2-1 victory was investigated by Uefa.
Bellingham, who has made the gesture while playing for his club side Real Madrid, denied that it was aimed at England’s opponents.
Responding to the incident on social media, Bellingham said it was “an inside-joke gesture towards some close friends who were at the game”, adding he had “nothing but respect for how Slovakia played”.
Bellingham has started all four of England’s Euro 2024 matches, scoring two of England’s four goals in Germany, including the 95th-minute overhead kick equaliser against Slovakia.
England play Switzerland in Dusseldorf at 17:00 BST in a match that will be live on BBC One, BBC Radio 5 Live and the BBC Sport website and app. All 26 players in manager Gareth Southgate’s squad trained on Friday morning.
Meanwhile, the Football Association has been fined £9,310 (11,000 euros) for crowd issues involving England supporters.
A fine of 10,000 euros was issued for crowd disturbances, and 1,000 euros for lighting fireworks.
While Bellingham is available for Saturday’s match, Turkey defender Merih Demiral has been handed a two-match ban for a gesture he made during his side’s last-16 win against Austria.
Demiral, 26, scored both of Turkey’s goals in the 2-1 win and celebrated his second goal with a ‘wolf salute’.
The gesture, which is banned in Austria and France, is associated with the far-right extremist group Grey Wolves that is closely linked with Turkey’s ruling coalition party the National Movement Party.
Turkey face the Netherlands in Berlin, with the game kicking off at 20:00.