we consider the nonlinear Heisenberg Ferromagnetic chain equation
$$ \mathrm{i}u_t+u_{xx}-\frac{2\bar{u}}{1+|u|^2}u_x^2=0 $$
under Dirichlet boundary conditions. By Taylor formula,  the nonlinear Heisenberg Ferromagnetic chain equation can be described by the nonlinear Schr\"{o}dinger  type equation. Using an infinite dimensional KAM theorem for reversible system, we prove the existence of many $n$-dimensional invariant tori under sufficiently small perturbation and thus many time quasi-periodic solutions for the above equation.