The measurement of displacements is very important of structural integrity, because they are directly related to the deformations. However, when the measurements are supposed to be made in huge structures, as bridges and stadiums, it becomes very difficult, because the available transducers, like LVDT’s, need to be fastened to a fixed reference. There are many new transducers the use laser to make these measurements, but, this kind of transducer are still expensive. Another form to measure displacements is through the double integration of accelerometer signals, however the analog double irregrators available presents many problems related to its Dynamic Response and can’t be used for this purpose. In this thesis it is proposed a digital way of making this double integration, allowing us to obtain a displacement measurement system that uses accelerometers.