Factorial experiment is an important technique in doing research with multiple factors in the field of experimental design. The technique has offered a wider scope of applications to agriculture and industrial production engineering. Since there is no systematic method of construction, the researchers encounter difficulties working with the construction of factorial experiment. The monograph is an outcome of my research works on the construction of factorial experiments (symmetrical and asymmetrical). In this booklet, construction frameworks have been described for factorial experiments. The construction frameworks include general construction method of p^n factorial experiments, construction methods with confounded effects and detection method of confounded effects in a confounded plan. The concepts of combinatorial, matrix operations and linear equation technique have been deployed to develop the methods. The booklet is a first-hand reference for the graduate and post-graduate students and researchers in the fields Statistics, Agriculture and Industrial engineering.