World Meteorological Organization has defined a series of indices and proposed using of them in research of climate changes, in analysis of air temperature extremes changes, quantities of precipitation and other meteorological parameters. In large part of the Montenegro, annual values of air temperature and quantity of precipitation show statistically significant trend, or slight aridisation in the second half of the XX and by the beginning of the XXI century. In Podgorica, in the period from 1951 to 2008 trend of average annual temperature and annual precipitation sums is 0.155°C (1.0%), or -4.2 mm (-0.3%) per decade. The aim of this research was to determine on the basis of complex analysis of daily extremes indices what causes, in mathematical terms, growth of average annual temperature and decrease of annual quantities of precipitation on the sample of data for Podgorica, in the period 1951 - 2008. Acquired results indicate that the perceived tendency of warming in Podgorica is, first of all, a consequence of more often appearance of maximal and minimal daily temperatures which have warmer values. On the other hand, in mathematical terms, statistically important increase of frequency of drought days and slight decrease of humid days give contribution to decrease, statistically insignificant, of annual amounts of precipitation in the period of 58 years.