Background: This paper will suggest that combined strategy of Lean Construction techniques with Linear Programming as a possible solution to the problem of overruns in construction work. It will seek to examine how a combination of Lean Construction techniques and a base software model of Linear Programming can apply to a construction project at the initial and intermediate planning stage to overcome challenges related to project overruns. Based on a literature review and data collection it will investigate if the combination of Lean Construction techniques and Linear Programming could result in time and cost assurances in a construction project. Objective: To investigate to what extent a combination strategy of Lean Construction principles and Linear Programming could help solve the problem of overruns in time and costs in construction. Analysis: The research work deals with the application of lean construction principles such as Last planner system Just in time etc. at the first part of the project and then the second part introduces formation of linear programming model base on the output of first part. The collective result of the combination is then measured. Expected Findings: Time and Cost overrun can be easily overcome through applying the combination of Lean construction techniques, and linear programming was implemented. Project planning and scheduling can be improved in the early phase of the project, which helps to avoid delays and failure of project occurring at a later stage. Improvement: The combination of both is never used in the construction industry so far, so this project gives initial strategy to do so for small scale construction project first, and after successful implementation, it can be applied to the large scale construction project.