An apparatus for purifying an exhaust gas passing through an exhaust pipe includes a catalytic converter disposed on the exhaust pipe. The catalytic converter is provided with a lean NOx trap (LNT) device, the LNT device having an LNT catalyst coated therein, and a catalyzed particulate filter (CPF), the CPF having a catalyst coated therein, and the LNT device and the CPF are sequentially disposed in the catalytic converter. The CPF includes at least one inlet channel extending in a longitudinal direction, the at least one inlet channel having a first end into which fluid flows and a second end which is blocked, at least one outlet channel extending in the longitudinal direction, the at least one outlet channel having a first end which is blocked and a second end through which the fluid flows out, at least one porous wall that defines a boundary between neighboring inlet and outlet channels and that extends in the longitudinal direction, and a support with the catalyst coating thereon, and the support is located within at least one among the at least one inlet channel and the at least one outlet channel.