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In this paper, we present a centralized power allocation scheme to maximize system throughput, subject to users' QoS requirements in both uplink and downlink, for an inband full-duplex (IBFD) multi-tier network, considering both cross-tier interference and self-interference. As the result of these two types of interference, the objective function as well as QoS constraints are non-convex functions with respect to transmit power, which makes the optimization problem hard to tackle. We deal with this non-convexity by deriving a concave lower bound for each of rate functions, based on which an efficient iterative algorithm is developed. Our simulation results demonstrate the effectiveness of our proposed power control scheme for IBFD networks and system throughput enhancement up to 62%.