the challenge for future generation of wireless environment is on how to choose the appropriate wireless access network connection when there are several different wireless networks are existed. Hence, a vertical handover network selection (VHONS) being used to aid in term of service quality for user's satisfaction of the mobile terminal. This article intends to propose a new method of choosing the vertical handover network. This method covers the weight distribution and cost factor techniques. The weight distribution is used to measure different weights for existing wireless network based on the user's preference and mobile terminal power. The cost factor technique is also used to identify the cost for performing handover target by considering every network parameters and its weight. Results obtained showed that the algorithm has the ability to increase user's satisfaction compared to other algorithms, which consistently choose one accessible network.