Cloud Computing is the use of computing resources (Hardware and Software) that are delivered as a service over a network (typically the internet). It supplies a high performance computing based on protocols which allow shared computation and storage over long distances. In cloud computing, there are many tasks requires to be executed by the available resources to achieve best performance, minimal total time for completion, shortest response time, utilization of resources, etc. Because of these different intentions, the authors need to design, develop, propose a scheduling algorithm to outperform appropriate allocation map of tasks on resources. A unique modification of Improved Max-min task scheduling algorithm is proposed.