In　this　paper,　the　problem　of　tracking　a　non-cooperative　target　by　heterogeneous　multi　-agent　systems(MASs)　with　actuator　faults　is　studied.　Since　the　target　is　non-cooperative,　the　system　matrix　of　the　target　is　unavailable.　Hence,　the　existing　results　dealing　with　con-sensus　problem　of　heterogeneous　multi-agent　based　on　known　exosystem　matrix　are　inap-plicable.　A　neural-network-based　adaptive　observer　is　designed　for　estimating　the　output　of　the　non-cooperative　target.　Then,　a　finite-time　adaptive　fault　tolerant　controller　is　devel-oped　to　resolve　the　heterogeneous　target　tracking　problem　in　the　presence　of　actuator　faults.　The　tracking　errors　can　converge　within　finite　time.　The　proposed　controller　is　fully　distributed,　thereby　no　longer　requiring　the　system　matrix　of　the　target　and　actuator　fault　rates　of　the　tracking　agents.　Finally,　the　effectiveness　of　the　developed　strategies　and　the　correctness　of　achieved　stability　conditions　are　verified　by　some　numerical　examples.　(c)　2022　Elsevier　Inc.　All　rights　reserved.