The two teams were also fined 5,000 euros each after fans let off fireworks inside the San Siro, European football's ruling body UEFA said in a statement on Monday.
The second-leg tie, which Inter won 1-0 for a 4-3 aggregate victory, was littered with yellow cards. There were six for Celtic, including two for Virgil van Dijk, and two for Inter.
Van Dijk was sent off before halftime for a foul on Mauro Icardi that resulted in his second booking.
(Reporting by Martyn Herman, editing by Tony Jimenez)
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