Workflow applications require workflow processing in which workflow tasks are processed based on their dependencies. With the emergency of complex distributed systems such as grids and clouds, efficient workflow scheduling (WFS) algorithms have become the core components of the workflow management systems (WfMS). Thus, WFS that allocates each task in the workflow to a relevant resource with the aim of improving system performance and end user satisfaction is fundamentally important. In this paper, we propose a new workflow scheduling algorithm called Layered Workflow Scheduling Algorithm (LWFS) for scheduling workflow applications. We studied the efficacy of the LWFS scheduling experimentally and compared its performance with approaches including Improved Critical Path using Descendant Prediction (ICPDP), Highest Level First with Estimated Time (HLFET), Modified Critical Path (MCP) and Earliest Time First (ETF). The results of the experiments show that the proposed approach outperforms other approaches.