This work presents an experimental study of the behavior of slender high strength concrete columns under uniaxial and biaxial eccentric compression loads. Eight columns with cross-section of 15x25 cm and height of 300 cm were tested, divided into two series. In the first series, the concrete strength was 40 MPa and the four columns were tested under biaxial compression. In the second series, the concrete strength was 70 MPa and the four columns were tested under uniaxial compression. In each series, the variable was the longitudinal reinforcement ratio which assumed the values 1,3%, 2,1%, 3,2% e 4,3%. The objective was to verify the values of the eccentricity of second order that should be taken into account in the design of slender high strength concrete columns. The experimental results were compared with theoretical results obtained by the models of the approximated curvature and approximated stiffnes methods prescribed in the NBR 6118:2003 code. This comparison showed that the method of curvature approximate present values of the eccentricities of second order close to the real in the case of columns under uniaxial and biaxial eccentric compression loads, while the method of stiffness approximate is lower security in columns under uniaxial eccentric compression load.