This article provides a detailed comparison of Molecular Dynamics (MD) and Monte Carlo (MC) simulation methods for researchers and professionals in computational biology and drug development. It explores the foundational principles of both stochastic (MC) and deterministic (MD) approaches, highlighting their unique strengths in sampling conformational space and simulating time evolution. The scope covers core methodologies, diverse applications in biomolecular simulation and drug design, strategies for troubleshooting sampling efficiency and system setup, and quantitative comparisons of performance and reliability. The review synthesizes these insights to offer practical guidance on method selection and discusses future directions for integrating these techniques in biomedical research.