A new approximate method to calculate exchange-correlation contributions in the framework of first-principles tight-binding molecular dynamics methods has been developed. In the proposed scheme on-site (off-site) exchange-correlation matrix elements are expressed as a one-center (twocenter) term plus a correction due to the rest of the atoms. The one-center (two-center) term is evaluated directly, while the correction is calculated using a variation of the Sankey-Niklewski[1] approach generalized for arbitrary atomic-like basis sets. The proposed scheme for exchangecorrelation part permits the accurate and computationally efficient calculation of corresponding tight-binding matrices and atomic forces for complex systems. We calculate bulk properties of selected transition (W,Pd), noble (Au) or simple (Al) metals, a semiconductor (Si) and the transition metal oxide TiO 2 with the new method to demonstrate its flexibility and good accuracy.