In the present article, an investigation carried out to diagnose the state of deterioration of a reticular type slab, located in the Historic Center of Oaxaca city Mexico, using non-destructive (TND) and semi-destructive (TSD) techniques, is described. The roof was built with an unconventional structural system, which consisted of the use of reticular beams, missing hollow block cases and a compression slab. During the visual inspection, various signs of deterioration in the structure were observed, such as: leaks, salt leaching, shedding of the rebar cover and corrosion of the reinforcing steel. Accordingly, the TND and TSD selected to perform the diagnosis of the state of deterioration of the structure were the following: estimation of the compressive strength (f´c), by means of sclerometry test and compression test in concrete cores, determination of the effects of salts leaching on the pH of the concrete, estimation of the amount and location of the reinforcing steel with a digital pacometer and estimation of the corrosion state in selected rebars by electrochemical testing. The results obtained revealed the feasibility of using NDT and SDT to reliably diagnose the state of deterioration of a reticular slab of reinforced concrete in a non-invasive manner.