Proper and planned construction management in managing time and costs which is a benchmark in the success of a project. A construction project, in its implementation, often finds a condition where optimization must be carried out precisely and quickly in meeting the time demands of a contract which reflects the wishes of an owner as a provider of funds. Therefore, it is necessary to use the Time and Cost Prediction Application for Construction Projects to be able to estimate the time and costs required so that the project can be completed on time. One method that can be used is the POM-QM Based Linear Programming method. This research is focused on knowing: 1Optimization of project completion costs; 2Optimization of project completion time; 3Opportunity or probability of project completion time. The data used is from the Aspena Residence-Tangerang Apartment Project, in terms of architectural work from the 5th floor to the 11th floor.From this research, the researcher hopes that this research can be useful for related parties as material for consideration in planning and evaluating project completion time, as well as for other new projects.