In this paper, we investigate and analyze the weight distribution of feedforward two-layer neural networks in order to understand and improve the time-consuming training process of neural networks. Generally, it takes a long time to train neural networks. However, when a new problem is presented, neural networks have to be trained again without any benefit from previous training. In order to address this problem, we view training process as finding a solution weight point in a weight space and analyze the distribution of solution weight points in the weight space. Then, we propose a weight initialization method that uses the information on the distribution of the solution weight points. Experimental results show that the proposed weight initialization method provides a better performance than the conventional method that uses a random generator in terms of convergence speed.