To provide a vibration control structure of a building and a wall forming panel capable of having a simple structure, facilitating the execution, easily and economically increasing an earthquake resisting performance of the building without impairing flexibility of a floor plan.

The vibration control structure of the building is so constituted that viscoelastic bodies 3 are fixed to the sides 2a of an outdoor side (or an indoor side) of a wall forming structural skeleton 2 in the building and that the wall forming panel 1 is fixed on the sides 2a through the viscoelastic bodies 3. The wall forming panel 1 is constituted of the front side substrate plate 11 integrally joined with the back side substrate plate 12, the front side substrate plate 11 and the back side substrate plate 12 are respectively constituted so that a large number of narrow strip boards 13 (14) can be parallelly arranged at predetermined intervals and can be arranged by changing their inclinations each other, and both narrow strip boards 13 and 14 are connected to each other through viscoelastic bodies 18 at cross sections 17.