Computational modeling is extensively utilized to analyze the performance of structures like telecommunication towers, with no guarantee of the accuracy of structural behavior predictions. Simplifications in the invariants of the modelling process, including geometry, material, mass, boundary conditions, and the load applied on the towers, lead to uncertainties in modelling. One way to reduce or lessen these uncertainties is by conducting full-scale tests to obtain dynamic characteristics, among other factors. Through these tests, the model can be fine-tuned until there is a match between the experimental and computationally simulated results. The current study conducts a sensitivity analysis of the computational model of a self-supporting tower by examining material parameters, such as two values of modulus of elasticity, different connection types between elements using three modeling approaches, and the variable mass including weights from bolting. The sensitivity study examines how natural frequencies and modal shapes differ from those found in a full-scale test. Ultimately, the impact of the factors was assessed through statistical analysis utilizing an experimental setup. The study indicated that the type of connection parameter has the greatest impact on developing a computational model that accurately replicates the tower’s dynamic behavior.