The designs for computer experiments attract more and more attention, and the nested Latin hypercube designs play significant roles in computer experiments, for they mainly deal with the experiments which have high-accuracy and lowaccuracy parts. However, most nested Latin hypercube designs have the restriction that the run sizes of lowaccuracy experiments should be the multiple of highaccuracy experiments. A general multi-layer nested Latin hypercube design which has flexible run sizes for different accuracy experiments was proposed by improving the traditional construction method. This design method can achieve the desirable one-dimensional uniformity. Numerical simulations show that this method perform well on the sampling variance.