A moving apparatus with a driving force assist mechanism traveled mainly by human power. This moving apparatus detects, in a non-contact manner, with respect to rotating portion such as traveling wheel, etc., rotation speed of the rotating portion to detect traveling state to deliver, from the driving force assist mechanism, assistant driving force corresponding to speed change information that a person who operates the moving apparatus intends to give on the basis of the detected traveling information to carry out traveling to thereby permit smooth traveling even in the case where traveling by only human power becomes difficult.