In view of multi-agent systems with nonlinear dynamics and unknown disturbances under directed topology, a research has thus been conducted on the fixed time containment control, assuming that the communication topology between agents is directed, with the follower also affected, by unknown disturbances. Based on algebraic graph theory, matrix theory and fixed-time stability theory, it is proved that the proposed protocol can solve the containment control in fixed time. Finally, the effectiveness of the theoretical results can be verified by a simulation example.