In　this　paper,　the　discontinuous　Galerkin　method　is　applied　to　solve　the　multi-pantograph　delay　differential　equations.　We　analyze　the　optimal　global　convergence　and　local　superconvergence　for　smooth　solutions　under　uniform　meshes.　Due　to　the　initial　singularity　of　the　forcing　term　f,　solutions　of　multi-pantograph　delay　differential　equations　are　singular.　We　obtain　the　relevant　global　convergence　and　local　superconvergence　for　weakly　singular　solutions　under　graded　meshes.　The　numerical　examples　are　provided　to　illustrate　our　theoretical　results.