An internal combustion engine control apparatus applied to an internal combustion engine adopting an exhaust gas recirculation scheme in which part of an exhaust gas of the engine is circulated into an air intake system, the control apparatus comprising: an information acquiring means configured to acquire an air intake parameter relating to intake air including an intake oxygen molar concentration and a fuel parameter relating to fuel injection; a first estimating means configured to estimate an in-fuel-spray air excess ratio which is an air excess ratio within a fuel spray using the air intake parameter and the fuel parameter; a first determining means configured to determine whether or not the in-fuel-spray air excess ratio is equal to or higher than a preset predetermined target in-fuel-spray air excess ratio (λ SP *); a pressure calculating means configured to calculate, when the in-fuel-spray air excess ratio (λ SP) is determined to be less than the target in-fuel-spray air excess ratio (λ SP *), a necessary fuel injection pressure (P inj_new) to match the in-fuel-spray air excess ratio (λ SP) with the target in-fuel-spray air excess ratio (λ SP *); a second determining means configured to determine whether or not the necessary fuel injection pressure (P inj_new) is equal to or less than a preset maximum injection pressure, a second estimating means configured to estimate, when the second determining means determines that the necessary fuel injection pressure (P inj_new) exceeds the maximum injection pressure, an in-fuel-spray air excess ratio (λ SP_pmax) when the maximum injection pressure is set as the fuel injection pressure; and an oxygen molar concentration calculating means configured to calculate a necessary intake oxygen molar concentration (O2 _new) to match the in-fuel-spray air excess ratio (λ SP_pmax) estimated by the second estimating means with the target in-fuel-spray air excess ratio, wherein the control apparatus is configured to perform, when the necessary fuel injection pressure is determined to be equal to or less than the maximum injection pressure, fuel injection at the necessary fuel injection pressure, wherein the control apparatus is configured to perform,when the necessary fuel injection pressure is determined to exceed the maximum injection pressure, fuel injection at the maximum injection pressure and the amount of exhaust gas to be circulated into the air intake system is controlled based on the necessary intake oxygen molar concentration. an information acquiring means configured to acquire an air intake parameter relating to intake air including an intake oxygen molar concentration and a fuel parameter relating to fuel injection; a first estimating means configured to estimate an in-fuel-spray air excess ratio which is an air excess ratio within a fuel spray using the air intake parameter and the fuel parameter; a first determining means configured to determine whether or not the in-fuel-spray air excess ratio is equal to or higher than a preset predetermined target in-fuel-spray air excess ratio (λ SP *); a pressure calculating means configured to calculate, when the in-fuel-spray air excess ratio (λ SP) is determined to be less than the target in-fuel-spray air excess ratio (λ SP *), a necessary fuel injection pressure (P inj_new) to match the in-fuel-spray air excess ratio (λ SP) with the target in-fuel-spray air excess ratio (λ SP *); a second determining means configured to determine whether or not the necessary fuel injection pressure (P inj_new) is equal to or less than a preset maximum injection pressure, a second estimating means configured to estimate, when the second determining means determines that the necessary fuel injection pressure (P inj_new) exceeds the maximum injection pressure, an in-fuel-spray air excess ratio (λ SP_pmax) when the maximum injection pressure is set as the fuel injection pressure; and an oxygen molar concentration calculating means configured to calculate a necessary intake oxygen molar concentration (O2 _new) to match the in-fuel-spray air excess ratio (λ SP_pmax) estimated by the second estimating means with the target in-fuel-spray air excess ratio, wherein the control apparatus is configured to perform, when the necessary fuel injection pressure is determined to be equal to or less than the maximum injection pressure, fuel injection at the necessary fuel injection pressure, wherein the control apparatus is configured to perform,when the necessary fuel injection pressure is determined to exceed the maximum injection pressure, fuel injection at the maximum injection pressure and the amount of exhaust gas to be circulated into the air intake system is controlled based on the necessary intake oxygen molar concentration.