Controlling the spatial distribution of liquid droplets on surfaces via surface energy patterning can be used to control material delivery to specified regions via selective liquid/solid wetting. While studies of the equilibrium shape of liquid droplets on heterogenous substrates exist, much less is known about the corresponding wetting kinetics. We make significant progress towards elucidating details of this topic by studying, via large-scale atomistic simulations, liquid nanodroplets spreading on chemically patterned surfaces. A model is presented for lines of polymer liquid (droplets) on substrates consisting of alternating strips of wetting (equilibrium contact angle θ 0 ≃ 0 • ) and nonwetting (θ 0 ≃ 90 • ) material. Droplet spreading is compared for different wavelength λ of the pattern and strength of surface interaction on the wetting strips. For small λ, droplets partially spread on both the wetting and non-wetting regions of the substrate to attain a finite contact angle less than 90 • . In this case, the extent of spreading depends on the interaction strength in the wetting regions. A transition is observed such that, for large λ, the droplet spreads only on the wetting region of the substrate by pulling material from non-wetting regions. In most cases, a precursor film spreads on the wetting portion of the substrate at a rate strongly dependent upon interaction strength.