This work of thesis is devoted to the study of Dark Matter (DM) distribution in the globular cluster M15 and will be a basis for a next study of searching for DM signals with the MAGIC (Major Atmospheric Gamma-ray Imaging Cherenkov) telescopes with M15 as a target. Cherenkov telescopes as MAGIC operate in the VHE γ-ray range, meaning they can detect γ-rays at energies higher than 100GeV. The search of DM with such telescopes is performed as an indirect measurement: what can be observed are γ-rays coming from the annihilation or decay of DM particles. The strength of the signal provided by annihilating (or decaying) DM is represented by the astrophysical J-factor. The J-factor depends on the target distance and its DM distribution. This work is divided in two main parts: first I studied the globular cluster M15 and define its DM profile using existing spectroscopic measurements of the relative velocities of stars in the cluster. After collecting the necessary measurements of the radial velocities of stars in M15 from recent literature, I run a Jeans analysis using the program CLUMPY (https://clumpy.gitlab.io/CLUMPY/), a code for the study of γ-ray signal from DM structures. After this step, I performed a statistical analysis and calculate the astrophysical J-factor. In this way, I obtained a complete and updated description of the Jfactor in M15 which can be used to search for DM annihilation or decay in M15 with MAGIC data.