We study the interaction of hydrogen with titanium in order to characterize some important microscopic and macroscopic properties of this system. It is technologically important because, among other applications, the Ti-H I system is used as structural material in many applications due to the combination of two important mechanical properties, which are resistance to the corrosion and hardness. Using a calculus program based on the jellium model for the material, we obtain values of properties that are important in the determination of the macroscopic behaviour of the Ti-H system, such as the variation of the electronic density and of the induced density of states due to the presence of the hydrogen in the, matrix of Ti. From an experimental point of view, we hydride a titanium matrix in order to determine the effects of the process on the properties of the material structure. The general features of these theoretical and experimental methods are discussed and the corresponding results are compared with experimental data.