The present invention is directed to provide an apparatus for measuring a vascular viscoelasticity index which is noninvasive, simple in structure and yet inexpensive.The present invention provides an apparatus for measuring a vascular viscoelasticity index, which measures a vascular viscoelasticity index αby a formula α = {(Pb2-Pa2) - (Pb1-Pa1)} / (Va2-Va1) wherein Pb1 is the maximal value of the first pulse wave Va1 is the local maximum value of a time derivative value of the first pulse wave Pa1 is the pulse wave amplitude corresponding to the local maximum value Va1 Pb2 is the maximal value of the second pulse wave Va2 is the local maximum value of a time derivative value of the second pulse wave and Pa2 is the pulse wave amplitude corresponding to the local maximum value Va2.