This paper studies uniform-price auctions for multiple units of airport slots in which the airlines purchase slots for take-off and landing at an airport. It considers strategic behavior on the part of bidding airlines and on the part of airport authority, who acts as a seller and decides supply quantity after receiving the bid schedules from airlines. Airport authority has a reservation price and decides to either reveal or hide it before the auction takes place. We find that when the reservation price is public, airlines misreport their valuations of slots and tilt their demand schedules downwards. The magnitude of misreport decreases with the realization of reservation price. A unique equilibrium of optimum bidding exists under a private reservation price scheme. Moreover, we show that‚ auction results in less slots being traded than would have been assigned by a social planner.