Wireless sensor networks, or W.S.N.s, are an important field of study with a wide range of real-world uses. Real-world applications for W.S.N.s include smart homes, industrial automation, healthcare, agriculture, and environmental monitoring. As W.S.N.s develop and grow more complex, they provide many chances for creative solutions across a range of industries. Because they are unattended, it is necessary to devise ways to enhance their functionality without depleting the sensor nodes' battery life, which is their most precious asset. The unique sink mobility model presented in this study is established on building a minimal Steiner tree from a wireless sensor network that has been installed. The suggested approach derives a movable sink with controlled movement based on the features of Steiner trees. Consequently, fixed nodes will be scheduled and visited in order to save routing overhead and improve network efficiency. Fixed nodes are visited via the mobile sink in the most efficient manner to gather data and send it to the base station by utilizing the features of the Steiner tree. The efficiency of the network was examined while implementing this mobility model, and using the NS-2 simulator, we ran simulations to assess the proposed approach. According to our findings, the suggested method may greatly improve wireless sensor network performance.