The potential energy curves have been investigated for the 12 lowest sextet electronic states in the 2s+1Λ(±) representation below 53,000cm −1 of the molecule CrF via CASSCF and MRCI (single and double excitation with Davidson correction) calculations. Seven electronic states have been studied theoretically for the first time. The harmonic frequency ω e , the internuclear distance R e , the rotational constant B e , the electronic energy with respect to the ground state T e , and the permanent dipole moment μ have been calculated. By using the canonical functions approach, the eigenvalues E v , the rotational constant B v and the abscissas of the turning points R min and R max have been calculated for the considered electronic states up to the vibrational level v=39. The comparison of these values to the theoretical and experimental results available in the literature shows a good agreement.