Evasion and pursuit guidance laws for the missile attacking the defense aircraft were derived based on the differential game theory. Three guidance laws which are optimalpursuit guidance law, evasion-pursuit guidance law and composite guidance law respectively were derived using a traditional cost function by defining different weight coefficients. If the missile uses the optimalpursuit guidance law, it can be intercepted easily. When the missile uses the evasionpursuit guidance law, the zero miss distance between the missile and aircraft will increase sharply; thus the missile fails to attack the aircraft easily. When the missile uses the composite guidance law, it is hard to choose the reasonable weighting parameters. To overcome these deficiencies, two new guidance laws were investigated and the sufficient conditions for the missile winning the game were analyzed. The two new guidance laws were verified by the nonlinear simulation and the results show that the proposed guidance laws can help the attacking missile evade the defender and attack the aircraft successfully.