Given a one-to-one bi-modal transportation network，the origin and the destination is connected by a highway with a bottleneck and a parallel transit line． Based on the bottleneck model，this paper considers the spatial distribution of parking spots and develops two novel parking permit schemes: one is a parking permit scheme with a designated spot ( i.e.，the designated scheme) ; the other is a parking permit scheme with a non-designated spot ( i.e.，the non-designated scheme) ． Both of them can help commuters with permits to reserve parking spaces，but the former predetermines a spot for the auto-commuter． By introducing a time-var-ying road toll，four traffic management schemes are proposed and the strategy optimization is investigated． The objective is to minimize the system travel cost and traffic emission costs simultaneously． It is found that the practice of parking permit scheme eliminates the competition for parking spots and the individual travel cost of drivers is thus reduced． Besides，the system performance reaches the optimum when both time-varying road tolls and the designated scheme are applied． However，the practice of roadway charge might be controversial． The non-designated scheme can be considered as a sub-optimal solution．