Analyses of near-surface air temperature T in Poland for 1781-2016 and in Tbilisi (Georgia) for 1881-2016 have been carried out. We show that the centenary warming effect in Poland and in Tbilisi has almost the same peculiarities. An average centenary warming effect ΔT = (1.08 ± 0.29)°C is observed in Poland and in Tbilisi for 1881-2016. A warming effect is larger in winter season (ΔT =~1.15°C) than in other seasons (average warming effect for these seasons ΔT =~0.95°C). We show that a centenary warming is mainly related to the change of solar activity (estimated by sunspot number [SSN] and total solar irradiance [TSI]), particularly, a time interval about~70 years (1890-1960), when correlation coefficients between 11-year smoothed SSN and T, and TSI and T are high, r = 0.66 ± 0.07 and r = 0.73 ± 0.07 for Poland and r = 0.82 ± 0.05 and r = 0.90 ± 0.05 for Tbilisi, respectively; in this period solar activity contributes decisively in the global warming. We show that a global warming effect equals zero based on the temperature T data in Poland for period 1781-1880, when human activities were relatively less than in 1881-2016. We recognize a few feeble~20 ± 3 years of disturbances in the temperature changes for period 1885-1980, most likely related with the fluctuations of solar magnetic cycles. We distinguish the fluctuations of~7-8 years in Poland's T data, possibly connected with local effects of the North Atlantic Oscillation.