In this article, a hybrid method called iteration Shehu transform method has been implemented to solve fractional-order Navier–Stokes equations. Atangana–Baleanu operator describes fractional-order derivatives. The analytical solutions of three distinct examples of the time-fractional Navier–Stokes equations are determined by using the iterative Shehu transform method. Further, we present the effectiveness and accuracy of the proposed method by comparison of analytical solutions to the exact solutions, and the results are represented graphically and numerically.