Scheckter, a South African, raced in F1 from 1972-1980, and won the 1979 world championship with Ferrari.
The collection features a range of cars which are predicted to sell for a combined total of almost £18 million.
'Original' championship winning chassis on auction
The star attraction in the collection is Scheckter's championship winning 1979 Ferrari 312 T4, the exact chassis which took all three wins in that victorious season.
It also took the chequered flag to secure the championship at Monza, and is Enzo Ferrari’s last drivers’ championship-winning car.
RM Sotheby's, organisers of the auction, write that the car is 'entirely original since leaving Maranello, including its heavily worn seatbelts and numbered components throughout'.