A control device for an internal combustion engine comprises an air flow meter arranged in the intake passage. The air flow meter includes a main passage and a bypass passage and detects a flow rate of air flowing through the bypass passage to detect a flow rate of air flowing through an intake passage. A current intake air flow rate is calculated based on a current throttle opening. When the rapid acceleration of the engine is in process, an air flow meter-detecting intake air flow rate, assuming that air flows through the intake passage at the current intake air flow rate, is estimated considering the pressure loss of the bypass passage of the air flow meter. When an operation other than the rapid acceleration is in process, it is estimated ignoring the pressure loss. The fuel injection amount is calculated from the estimated air flow meter-detecting intake air flow rate.