DEAD-box proteins are the largest family of helicase that are important in nearly all aspects of RNA metabolism. However, it is unclear how these proteins recognize and bind RNA. Here, we present a detailed analysis of the related DEAD-box protein Mss116p-RNA interaction, using molecular dynamics simulations with MM-GBSA calculations. The energetic analysis indicates that the two strands of double strands RNA (dsRNA) are recognized asymmetrically by Mss116p. The strand 1 of dsRNA provides the main binding affinity. Meanwhile, the nonpolar interaction provides the main driving force for the binding process. Although the contribution of polar interaction is small, it is vital in stabilizing the protein-RNA interaction. Compared with the wild type Mss116p, two studied mutants Q412A and D441A have obviously reduced binding free energies with dsRNA because of the decreasing of polar interaction. Three important residues Lys409, Arg415 and Arg438 lose their binding affinity significantly in mutants. In conclusion, these results complement previous experiments to advance comprehensive understanding of Mss116p-dsRNA interaction. The results also would provide support for the application of similar approaches to the understanding of other DEAD-box protein-RNA complexes.