The incident happened after PSG were beaten in the French Cup final by Rennes on Sunday.
The Ligue 1 champions had led 2-0, but Rennes twice drew level, before winning 6-5 on penalties, meaning a side other than PSG won the competition for the first time since 2014.
After the game, Neymar was seen lashing out at a supporter who filmed PSG players as they made their way up the steps at the Stade de France to collect their runners-up medals and he now faces a multiple-match ban.
“I did not like it, I did not like it at all,” said Tuchel. “It is not possible to do this sort of thing.