In　view　of　the　global　path　planning　problem　of　mobile　robot,　a　path　planning　method　based　on　quantumbehaved　fireworks　algorithm　(QFWA)　is　proposed.　A　quantum-behavior　fireworks　explosion　method　is　added　to　the　fireworks　algorithm　(FWA).　The　method　has　strong　local　search　ability　when　the　fitness　value　is　close　to　the　global　optimal　fitness　value,　and　has　strong　global　search　capability　when　the　fitness　value　is　relatively　bigger.　The　algorithm　has　improved　the　diversity　of　fireworks　explosion　and　the　algorithm　convergence　speed.　Test　the　improved　algorithm　with　Benchmark　test　function,　and　contrast　the　result　with　other　algorithm,　the　results　shows　that　the　improved　algorithm　has　the　best　optimization　effect.　The　QFWA　algorithm　is　applied　to　the　path　planning　of　mobile　robot,　and　using　a　method　of　the　artificial　potential　field　algorithm　based　on　the　average　filter　to　smooth　the　planned　path.　The　effectiveness　and　feasibility　of　the　improved　algorithm　is　verified　by　simulation　results.　©　2019,　Editorial　Department　of　Control　Theory　&　Applications　South　China　University　of　Technology.　All　right　reserved.