A hybrid vehicle control apparatus comprising: a drive source including an engine (Eng) and a motor; a friction engagement element (C1, C2, C3, B1, B2, B3, B4) provided in a driving force transmission path from the drive source (Eng, MG) to a driving wheel (RL, RR), wherein the friction engagement element (C1, C2, C3, B1, B2, B3, B4) is engaged when a drive range is selected; an input rotational speed keeping control means that performs, by a rotational speed control of the motor, a control for keeping an input rotational speed of the friction engagement element (C1, C2, C3, B1, B2, B3, B4) at a target rotational speed that is equal to the input rotational speed at start of an engagement control of the friction engagement element (C1, C2, C3, B1, B2, B3, B4); and an engagement start judgment means that judges, in response to a condition, that the friction engagement element (C1, C2, C3, B1, B2, B3, B4) has started to be engaged, wherein the condition is a condition that a parameter has exceeded or become equal to a predetermined threshold value when in a start region of the engagement control of the friction engagement element (C1, C2, C3, B1, B2, B3, B4), wherein the parameter changes along with a rotational fluctuation of the drive source (Eng, MG); wherein the engagement start judgment means starts the judgment after awaiting lapse of a predetermined time period (t1 -t4) after the start of the engagement control of the friction engagement element (C1, C2, C3, B1, B2, B3, B4), characterized in that the predetermined time period (t1-t4) is set longer than a time period (t1-t3) from the start of the engagement control of the friction engagement element (C1, C2, C3, B1, B2, B3, B4) to an end of pre-charging for engagement of the friction engagement element (C1, C2, C3, B1, B2, B3, B4). a drive source including an engine (Eng) and a motor; a friction engagement element (C1, C2, C3, B1, B2, B3, B4) provided in a driving force transmission path from the drive source (Eng, MG) to a driving wheel (RL, RR), wherein the friction engagement element (C1, C2, C3, B1, B2, B3, B4) is engaged when a drive range is selected; an input rotational speed keeping control means that performs, by a rotational speed control of the motor, a control for keeping an input rotational speed of the friction engagement element (C1, C2, C3, B1, B2, B3, B4) at a target rotational speed that is equal to the input rotational speed at start of an engagement control of the friction engagement element (C1, C2, C3, B1, B2, B3, B4); and an engagement start judgment means that judges, in response to a condition, that the friction engagement element (C1, C2, C3, B1, B2, B3, B4) has started to be engaged, wherein the condition is a condition that a parameter has exceeded or become equal to a predetermined threshold value when in a start region of the engagement control of the friction engagement element (C1, C2, C3, B1, B2, B3, B4), wherein the parameter changes along with a rotational fluctuation of the drive source (Eng, MG); wherein the engagement start judgment means starts the judgment after awaiting lapse of a predetermined time period (t1 -t4) after the start of the engagement control of the friction engagement element (C1, C2, C3, B1, B2, B3, B4), characterized in that the predetermined time period (t1-t4) is set longer than a time period (t1-t3) from the start of the engagement control of the friction engagement element (C1, C2, C3, B1, B2, B3, B4) to an end of pre-charging for engagement of the friction engagement element (C1, C2, C3, B1, B2, B3, B4).