An obstacle avoidance control apparatus is provided with an obstacle detecting section, a first obstacle proximity distance prediction section, a second obstacle avoidance direction determining section, a target vehicle body slip angle setting section and a vehicle behavior controlling section. The obstacle detecting section detects preceding obstacles. The first obstacle proximity distance prediction section predicts a closest proximity distance between the host vehicle and a first (closest) obstacle. The second obstacle avoidance direction determining section determines a second obstacle avoidance direction to avoid the second obstacle. The target vehicle body slip angle setting section sets a target vehicle body slip angle, such that the host vehicle faces further inward of the turning direction as the proximity distance increases. The vehicle behavior controlling section controls the host vehicle so that an actual vehicle body slip angle coincides with the target vehicle body slip angle at the time of closest proximity.