This work explores finite-time leader-follower tracking control under directed switching topologies, where the leader’s control signal is not accessible to the followers. A decentralized nonlinear control law is developed, and a coordinate transformation is introduced to facilitate analysis. By focusing on the dynamics of the followers farthest from the leader in each dimension, we rigorously prove that each follower is able to reach the leader’s position within finite time. Finally, numerical experiments are presented to verify the proposed approach.