<p>This paper investigated the dynamic characteristics of drill strings during the drilling process of marine gas hydrate formations. As a potential clean energy source, the extraction technology for gas hydrates, particularly in deep-water regions, faces numerous challenges. The issue of drill string vibration is particularly pronounced in hydrate drilling, potentially leading to severe incidents such as tool wear, wellbore instability, and even blowouts. The research established a nonlinear finite element model of drill string dynamics, simulating the dynamic characteristics through basic assumptions and finite element methods. The floating reference frame method described the position of flexible body points, while the modal method calculated the flexible displacement of beams. Based on this model, simulations and analyses of the dynamic characteristics of drill strings were conducted during hydrate formation drilling. The findings indicated that the vibration at the bottom of the well and the neutral point of the drill string was most intense, marking potential risk zones. An energy accumulation effect in the middle of the drill string lead to resonance issues. Additionally, weight-on-bit and rotational speed were critical factors influencing drill string vibration characteristics. To enhance wellbore stability during gas hydrate formation drilling, it was recommended to employ low weight-on-bit and low rotational speed to minimize lateral acceleration of the drill string. This article provided a theoretical basis for drilling safety in gas hydrate formation drilling processes and offers suggestions for optimizing drilling parameters.</p>