A tricycle for riding on any type of terrain, improving stability and safety in slow movement, having a structural chassis incorporating a rolling assembly made up of a rear wheel associated to a propulsion system and two front wheels linked to a driving handlebar, wherein the front wheels are incorporated in a height-tilting suspension, made up of articulated quadrilaterals able to be deformed independently with vertical movement depending on the individual resting of the front wheels on irregularities of the terrain, the height-tilting suspension linking to the handlebar, by means of a transmission, which links the height-oscillating movements of the articulated quadrilaterals of the height-tilting transmission with an equivalent lateral tilting of the handlebar, this transmission having a clutch which allows for enabling or disabling the linkage of the movements between the height-tilting suspension and the handlebar.