BP learning algorithm from Conjugate Gradient method is an effective method for high speed learning. However, in this method, the problem of its dependency on learning initial values should be mentioned. Variable Slope is effective for learning with accuracy. Therefore, in this paper, we propose a learning algorithm that is a combination of the Conjugate Gradient and Variable Slope methods. Moreover, we propose Improved Variable Slope-Conjugate Gradient algorithm that uses the trend of Variable Slope-Conjugate Gradient algorithm. In order to verify this proposal we performed a simulation experiment using a data for the production control of a chemical plant.