A simple method is demonstrated for hydrogen concentrations measurement directly in transformer oil and in the gas space above it use a highly sensitive (at the level of units and fractions of ppm) gas sensor based on a metal-insulator-semiconductor capacitive structure (MIS sensor). The results obtained can be used in online monitoring systems and predicting the power transformers integral performance, in particular those that have been put into operation long ago, by tracking slow and invisible at the initial stage aging processes of current-carrying connections and structural elements.