The statistical properties of the Lagrangian acceleration vector of passive tracers in statistically steady rotating turbulence is studied by particle tracking velocimetry. Direct effects of the background rotation are the suppression of high-acceleration events parallel to the (vertical) rotation axis, the enhancement of high-acceleration events for the horizontal acceleration, and the strong amplification of the autocorrelation of the acceleration component perpendicular to both the rotation vector O and local velocity vector u. The autocorrelation of the acceleration component in the plane set up by O and u is only mildly enhanced