Selection of right sets of project is critical for organizations to successfully achieve their objectives and corporate strategies. Project portfolio selection is one of the most important decisions managers make. No matter how well it is managed, poorly chosen project can never be winners. To design an effective project portfolio selection, a good understanding of the organization and her project objectives are very vital. Each project always has different time, costs, benefits and risk which are rarely known with certainty. In the face of such differences, the selection of one project out of a set could be a difficult task. Choosing a number of different projects, a portfolio, is even more complex. This book focused on project portfolio selection and a goal programming model is proposed for selecting compromised project portfolio based on organization multiple objectives. The problem was formulated mathematically and a computer programming package (QSB+) was used to solve the formulated problem and appropriate decisions taken based on the results of the model analysis.