An exhaust purifying apparatus for an internal combustion engine includes execution means, wherein, when an accumulation amount of particulate matter about a catalyst becomes less than a first determination value after a PM elimination control is started, the execution means executes burn-up control. Stopping means stops the PM elimination control based on an end of the burn-up control. Forcibly ending means forcibly ends the burn-up control when time elapsed since the accumulation amount of particulate matter about the catalyst has dropped to a second determination value reaches a predetermined time. Therefore, the exhaust purifying apparatus is capable of completely burning particulate matter in a PM filter, and suppresses degradation of fuel economy.