Events with muons in the final state are fundamental to detecting a large variety of physics processes in the ATLAS detector, including both high precision Standard Model measurements and new physics searches. To this purpose, the ATLAS Muon Trigger has been designed and developed in two levels: a hardware based system (Level-1) and a software based reconstruction (High Level Trigger). They have been optimized to keep the trigger rate as low as possible while maintaining a high efficiency, despite the increased particle rates and pile-up conditions at the LHC. An overview of the muon triggering strategies will be provided, showing the performance on Run 2 data of both the Level 1 and High Level Trigger. The most recent improvements implemented for Run 3 will also be presented.