In　this　paper,　we　study　the　global　topological　linearization　of　a　differential　equation　with　piecewise　constant　argument　of　generalized　type　(DEPCAG)　when　the　nonlinear　term　is　unbounded.　Some　sufficient　conditions　are　established　for　the　topological　conjugacy　between　a　nonlinear　system　and　its　linear　system.　Our　work　generalizes　the　main　result　of　Pinto　and　Robledo　in　[25].