Method and apparatus for blind docking an electronic device or module with an electrical connector, for example within a rack for a computer system. A forwardly-directed power connector is secured to a distal end of at least one rail or shelf bracket for blind docking with a rearwardly-directed power connector on the electronic module. The shelf bracket securing the forwardly-directed electrical connector is included in a pair of longitudinally-extending shelf brackets secured to opposing vertical side walls of a rack at a common elevation to form a module bay. The electronic module may slide along the shelf bracket until a rearwardly-directed power connector of the electronic module blind docks with the forwardly-directed power connector. A boss or alignment stud may be included on the bracket to improve alignment of the connectors. The forwardly-direct electrical connector may also be secured to the bracket with a floating connection to enable minor adjustments in alignment during blind docking.