Available studies on concrete structural parts with FRP reinforcement bars concern mostly investigations on bent elements (beams, slabs) [1, 2]. There are also available a few theoretical analyses on columns [3–5]. Though, there is still little experimental data concerning concrete columns with FRP bars [6–8], especially subjected to eccentric load, as also underlined in the review article [9]. This research aims to fulfill this research gap. Also, basalt FRP bars were chosen as relatively new type of non-metallic bars with low ecological impact [1]. A total of eight columns with the height of either 750 mm or 1500 mm having 150 mm x 150 mm rectangular cross section were examined under axial or eccentric mechanical load up to 290 kN. Columns were reinforced with four BFRP main bars with the diameter of either 8 or 10 mm, and 8 mm steel stirrups in each case. The results on the thermal and mechanical properties’ investigations on BFRP bars were presented in [10]; the compressive strength values of the used BFRP bars were in the range of 441.2–466.8 MPa and elasticity modulus at compression values were equal to 31.0–38.4 GPa. Tested compressive strength of concrete, from which all columns were made (in one concrete pouring) were equal to 33.8 MPa. Each column was loaded in three cycles of loading-unloading, increasing the eccentricity, from 0 to 2 cm, and finally to 4 cm. DIC (Digital Image Correlation) method was used for the analysis of crack propagation (as in earlier research of bent elements [11]), but also unexpectedly there were visualised intensification areas of compression micro-damages. Failure was noted for two elements - B075_8_2 at the eccentricity of 4 cm (failure load – 290 kN after 60 s of sustained load) and B150_10_2 at the eccentricity of 4 cm (280 kN). Other specimens did not fail under load up to 290 kN. Maps from DIC method were also compared with results from numerical modelling (in Abaqus software) with good resemblance.