Effective collision strengths for transitions among the lowest 97 fine-structure levels belonging to the (1s^2^2s^2^2p^6^) 3s^2^3p^2^, 3s3p^3^, 3s^2^3p3d, 3p^4^, 3s3p^2^3d and 3s^2^3d^2^ configurations of Fe XIII have been calculated using the fully relativistic Dirac Atomic R-matrix Code (DARC) of Norrington & Grant (2004, Comput. Phys. Commun. - in prep.). Resonances have been resolved in the threshold region, and results are reported over a wide electron temperature range up to log T_e_=6.8K. Comparisons are made with the earlier available R-matrix results of Gupta & Tayal (1998ApJ...506..464G), and the accuracy of the data is assessed.