This paper discusses about the dynamic monitoring of stability (tilt measurement) of bearing pillar of high-rise building using the electronic measuring system. The electronic measuring system consists of Libela 2800 tilt sensor, input/output device for the AE 2DN tilt sensor, measuring amplifier and also the Spider8 analog/digital converter and the registration equipment (notebook). The basic part of uniaxial tilt sensor creates a frame, on which is among damping plates hung a pendulum (ferromagnetic kernel). The tilt value is determined on a principle of electromagnetic induction by changing the position of ferromagnetic kernel in the reel. The range of pendulum movement is ± 2,5 mm/m and the accuracy of the tilt determination is 0,001 mm/m. The monitored building represents, from the point of constructional view, a ferro-concrete rectangular sceleton, which consists of vertical bearing pillars, on which are guyed longitudinal and transverse girders. The building ground-plan is rectangular with the dimensions of 75 m (distance) and 12 m (width). The building has two underground and six above the ground floors with constructional high of 3,40 m. Whole highth of the above ground part of building is 20,4 m. The pillar tilt was measured in the transverse direction of the building at the level of the second floor using the Libela 2800 electronic sensor. The sensor was situated on the metallic console (L-profile), which was assembled on a lateral side of the circuit bearing pillar at the highth of 8,3 m above the ground level. Together with the tilt monitoring, the outside air temperature in the close area of pillar was measured. The tilt measurement was carried out continuously for 168 hours with the recording frequency of 1 Hz (1 measurement/second). The file of the measured data with 603 950 records was reduced to the file with 1006 records, which corresponds to the record of the every tenth minute. The measured tilt values represent from the mathematical point of view, a time series. The time series of the measured value is a sum of the trend, seasonal, cyclic and the stochastic component. By the application of time series analysis using the regression method and the Box-Jenkinson methodology, we decompose systematic components and isolate stochastic errors, which rise by the measurement. Individual components of time series are expressed mathematically as a function of time. A precise and exact mathematic-statistical data processing guarantees the definite coefficient estimation of the time series function and enables a correct interpretation of results. The difference between the initial and the final tilt value in a range of measurement (168 hours) is 0,218 mm/m and the relative transverse movement of pillar (building) at the highth of 8,3 m would reach the value of 1,81 mm