A driving support apparatus that implements a driving support for avoiding a collision of a host vehicle and a moving object, the apparatus comprising: first time prediction means for predicting a first time that it takes for the host vehicle to arrive at an intersection where the host vehicle and the moving object cross, in a traveling direction of the host vehicle and a direction crossing the traveling direction; second time prediction means for predicting a second time that it takes for the moving object to arrive at the intersection, in a direction crossing the traveling direction; first driving support determination means for determining whether the driving support is to be implemented or not in the host vehicle by applying the first time and the second time predicted by the first time prediction means and the second time prediction means, respectively, to a first map set in advance; driving support control means for controlling the driving support in the host vehicle in a case where the first driving support determination means determines that the driving support is to be implemented in the host vehicle; and second driving support determination means for determining whether a speed of the moving object in a direction crossing the traveling direction is equal to or less than a first threshold value and whether the first time is equal to or less than a second threshold value or not in a case where the first driving support determination means determines that the driving support is not to be implemented, and for determining that the driving support is to be implemented in the host vehicle in a case where the conditions are satisfied, wherein, in a case where the second driving support determination means determines that the driving support is to be implemented, even in a case where the first driving support determination means determines that the driving support is not to be implemented, the driving support control means continues to implement the driving support in the host vehicle. first time prediction means for predicting a first time that it takes for the host vehicle to arrive at an intersection where the host vehicle and the moving object cross, in a traveling direction of the host vehicle and a direction crossing the traveling direction; second time prediction means for predicting a second time that it takes for the moving object to arrive at the intersection, in a direction crossing the traveling direction; first driving support determination means for determining whether the driving support is to be implemented or not in the host vehicle by applying the first time and the second time predicted by the first time prediction means and the second time prediction means, respectively, to a first map set in advance; driving support control means for controlling the driving support in the host vehicle in a case where the first driving support determination means determines that the driving support is to be implemented in the host vehicle; and second driving support determination means for determining whether a speed of the moving object in a direction crossing the traveling direction is equal to or less than a first threshold value and whether the first time is equal to or less than a second threshold value or not in a case where the first driving support determination means determines that the driving support is not to be implemented, and for determining that the driving support is to be implemented in the host vehicle in a case where the conditions are satisfied, wherein, in a case where the second driving support determination means determines that the driving support is to be implemented, even in a case where the first driving support determination means determines that the driving support is not to be implemented, the driving support control means continues to implement the driving support in the host vehicle.