A driving support equipment for a vehicle is provided, the equipment comprising a frontward information recognition unit for recognizing environs information at the front of the vehicle; a preceding vehicle information detection unit for detecting preceding vehicle information from the environs information at the front of the vehicle; an eye motion detection unit for detecting an eye motion of a driver who drives the vehicle; a dispersion value processing unit for processing a value showing a dispersion of the eye motions regarding the preceding vehicle, detected by the eye motion detection unit; an attention state estimation unit for estimating an attention state of the driver regarding the preceding vehicle, using the value showing the eye motion dispersion; and an alarm control unit for varying a vehicle alarm according to the estimated attention state of the driver.