A rotation induction device for a vehicle includes: an upper case having a piston rod disposed therethrough; a lower case disposed adjacent to the upper case and having the piston rod disposed therethrough; a center plate disposed between the upper case and the lower case such that the piston rod passes through the center plate, to induce rotation of one or both of the upper case and the lower case; and a friction restraint part formed on one or both of the upper case and the lower case, to restrain friction with the center plate.