Numerical methods for the solution of partial differential equations are broadly categorized as either implicit or explicit. A more recent approach, denominated IMEX, takes advantage of both strategies to form a combined scheme that excels in the solution of problems containing both fast and slow time scales. In this work, a family of multistep IMEX schemes based on Adams methods is used to solve the two-dimensional viscous Burgers' equation, which is one of the fundamental equations in fluid dynamics. Two numerical experiments are proposed, where the exact solution is used to verify the results, and the accuracy of the proposed methods is compared to a fully explicit and a fully implicit implementation.