A vehicle driving assist apparatus includes an input section to sense a vehicle traveling condition of a vehicle, an output section to present assist information to a driver of the vehicle, and a control section to prepare the assist information in accordance with the vehicle traveling condition sensed by the sensing section. The control section is configured to determine an estimation quantity (such as a driver's receptivity or a driver's responsiveness to the assist information, or a driver's driving behavior), and to adjust the assist information in accordance with the estimation quantity. The control section may be further configured to determine a presentation mode in accordance with the estimation quantity, and to present the assist information through the output section to the driver in the presentation mode.