Motivated by the recent ARPES measurements (Evtushinsky et. al., PRL 105, 147201 (2010)) and evidence for the density-wave state for the charge and orbital ordering (García et al., PRL 109, 107202 (2012)) in La 0.5 Sr 1.5 MnO 4 , the issue of charge and orbital ordering in a two orbital tight-binding model for layered manganite near half doping is revisited. We find that the charge order with an ordering wavevector 2Q = (π, π) is induced by the orbital order of B 1g representation with a different ordering wavevector Q, where the primary order parameter results from the strong Fermi-surface nesting. The orbital and charge order parameters develop according to √ T CO − T and T CO − T , respectively, by decreasing the temperature below the orbital ordering temperature T CO . Moreover, the orbital order is found to stabilize the CE-type spin arrangement observed experimentally below T CE < T CO .