By fast Lyapunov indicator (FLI), we study the chaotic dynamics of closed string around charged black brane with hyperscaling violation (HV). The Hawking temperature, Lifshitz dynamical exponent and HV exponent together affect the chaotic dynamics of this system. The temperature plays the role that driving the closed string to escape to infinity. There is a threshold value z * = 2, below which the string is captured by the black brane no matter where the string is placed at the beginning. However, when z > 2, the string escapes to infinity if it is placed near the black brane at the beginning, but if the initial position of string is far away from the black brane, it oscillates around the black brane till eternity, which is a quasi-periodic motion. HV exponent plays the role driving the string falling into the black brane. With the increase of HV exponent θ, the falling velocity becomes faster. We find that the chaotic system does't essentially changes when we heat the system with large HV exponent which indicates that the HV exponent plays a very important role in determining the state of the chaotic system. Also we study the the effect form the wind number of the string. The study indicates that the chaotic dynamics of the string is insensitive to the wind number. *