This paper presents the studies of time domain inverse scattering for a two dimensional inhomogeneous dielectric cylinder buried in a slab medium by the finite difference time domain (FDTD) method and the asynchronous particle swarm optimization (APSO) method. For the forward scattering part, the FDTD method is employed to calculate the scattered E fields. Base on the scattering fields, these inverse scattering problems are transformed into optimization problems. The APSO is applied to reconstruct permittivity of the two-dimensional inhomogeneous dielectric cylinder. In addition, the effects of Gaussian noise on the reconstruction results are investigated. Numerical results show that even when the measured scattered fields are contaminated with Gaussian noise, APSO ten times is able to yield good reconstructed quality.