A vehicle system vibration suppression control device for a vehicle system in which a vehicle is driven via an elastic shaft by a motor drive device having a torque control function, the vehicle system vibration suppression control device comprising: a section (Gp(s)) containing an approximate model to which an output torque command (T m) is inputted; and a feedback control section (Gcomp(s)) configured to: employ the approximate model; calculate a motor-accelerating torque component (T mA *) by differentiating a measured speed component (ω m) of a motor rotational speed; produce a compensation torque component (T Fcomp) by causing the motor-accelerating torque component (T mA *) to pass through a vibration suppression control filter (F comp (s)); and calculate the output torque command (T m) by subtracting the compensation torque component (T Fcomp) from an input torque command (T ref); characterized in that the vibration suppression control filter (F comp (s)) is expressed by a mathematical expression, F comp s = 2 ⋅ ζ A − ζ r ⋅ ω r ⋅ s s 2 + 2 ⋅ ζ a ⋅ ω a ⋅ s + ω a 2 where s: a Laplace operator, ω r = √ K d ⋅ 1 / TJ m + 1 / TJ wM, ω a = √ K d ⋅ 1 / TJ wM, ζ r = K d ⋅ D s / 2 ⋅ ω r, ζ a = K d ⋅ D s / 2 ⋅ ω a, ζ A: an adjustable parameter, D s = TJ M / TJ w + TJ M ⋅ K t, TJ m: a time constant equivalent to motor inertia, TJ w: a time constant equivalent to driving wheel inertia (a combined value of multiple driving wheels), TJ M: a time constant equivalent to vehicle mass, K d: a torsional stiffness coefficient of driveline, K t: a coefficient relating to friction between tire and road surface, and TJ wM = TJ w + TJ M. a section (Gp(s)) containing an approximate model to which an output torque command (T m) is inputted; and a feedback control section (Gcomp(s)) configured to: employ the approximate model; calculate a motor-accelerating torque component (T mA *) by differentiating a measured speed component (ω m) of a motor rotational speed; produce a compensation torque component (T Fcomp) by causing the motor-accelerating torque component (T mA *) to pass through a vibration suppression control filter (F comp (s)); and calculate the output torque command (T m) by subtracting the compensation torque component (T Fcomp) from an input torque command (T ref); characterized in that employ the approximate model; calculate a motor-accelerating torque component (T mA *) by differentiating a measured speed component (ω m) of a motor rotational speed; produce a compensation torque component (T Fcomp) by causing the motor-accelerating torque component (T mA *) to pass through a vibration suppression control filter (F comp (s)); and calculate the output torque command (T m) by subtracting the compensation torque component (T Fcomp) from an input torque command (T ref); the vibration suppression control filter (F comp (s)) is expressed by a mathematical expression, F comp s = 2 ⋅ ζ A − ζ r ⋅ ω r ⋅ s s 2 + 2 ⋅ ζ a ⋅ ω a ⋅ s + ω a 2 where s: a Laplace operator, ω r = √ K d ⋅ 1 / TJ m + 1 / TJ wM, ω a = √ K d ⋅ 1 / TJ wM, ζ r = K d ⋅ D s / 2 ⋅ ω r, ζ a = K d ⋅ D s / 2 ⋅ ω a, ζ A: an adjustable parameter, D s = TJ M / TJ w + TJ M ⋅ K t, TJ m: a time constant equivalent to motor inertia, TJ w: a time constant equivalent to driving wheel inertia (a combined value of multiple driving wheels), TJ M: a time constant equivalent to vehicle mass, K d: a torsional stiffness coefficient of driveline, K t: a coefficient relating to friction between tire and road surface, and TJ wM = TJ w + TJ M. s: a Laplace operator, ω r = √ K d ⋅ 1 / TJ m + 1 / TJ wM, ω a = √ K d ⋅ 1 / TJ wM, ζ r = K d ⋅ D s / 2 ⋅ ω r, ζ a = K d ⋅ D s / 2 ⋅ ω a, ζ A: an adjustable parameter, D s = TJ M / TJ w + TJ M ⋅ K t, TJ m: a time constant equivalent to motor inertia, TJ w: a time constant equivalent to driving wheel inertia (a combined value of multiple driving wheels), TJ M: a time constant equivalent to vehicle mass, K d: a torsional stiffness coefficient of driveline, K t: a coefficient relating to friction between tire and road surface, and TJ wM = TJ w + TJ M.