Leclerc exited his car, walking away from the heavy impact, but will take no further part in practice.
The medical car was automatically deployed due to the heavy nature of the collision, however, the 26-year-old is believed to have left the crash unscathed.
Will Charles Leclerc's crash impact Hungarian GP weekend?
It will be a tough night for the Ferrari mechanics who will have to repair the damaged car to ensure it is ready for FP3 and qualifying on Saturday.
According to Sky Sports F1's David Croft, the No. 16 car will require a new front wing, a gearbox change and repairs to the left side of the floor.
Leclerc's dramatic spin adds to a difficult series of race weekends for the Ferrari star, finishing outside of the points in the past two races.
However, the Scuderia have returned to the front of the pack so far in Hungary with Carlos Sainz topping the timesheets in FP1, beating Max Verstappen.