Transportation problem is one of the important areas in operation research, which is widely used to make a decision in engineering, business, management and many other fields. In the field of operation research, Network Analysis plays an important role to optimization. In this thesis "A study of Transportation Problem (TP) & Network Analysis with TORA applications", we consider the transportation problem which is a linear programming problem having particular significance in optimization theory. We study some new initial and optimal solution method with some established methods and we comparing the solution. We also study some network problem to optimize the result. Finally software TORA has been used to show the variations in the methods of solving Transportation Problem (TP) & Network Problem. By using TORA, the solution can be found in short time.