This paper introduces a well known NP- Complete problem called the Knapsack Problem, presents several algorithms for solving it, and compares their performance. The reason is that it appears in many real domains with practical importance. Although it’s NP-Completeness, many algorithms have been proposed that exhibit impressive behaviour in the average case. This paper introduce A New approach to solve a Knapsack Problem. An overview of the previous research and the most known algorithms for solving it are presented. The paper concludes with a practical situation where the problem arises.