The internal-combustion-engine control apparatus has an intake-air-temperature correction control apparatus including a first-order advance compensation means that calculates an advance-compensation amount for an intake-air temperature detection signal, a time constant determination means that calculates a time constant of the first-order advance compensation means, and a first-order delay compensation means that receives a calculation value of the first-order advance compensation means; the time constant determination means includes a time constant setting means that sets a time constant, based on an intake-air flow rate detection signal, an upper-limit-value setting means that sets an upper limit value of the time constant calculated by the time constant determination means, and a minimum value selection means that selects and outputs a minimum value of a time constant set by the time constant setting means and the upper limit value set by the upper-limit-value setting means.