Abstract: A concrete finishing machine having a movable framework mounted transversely over a paved area and defining an axis. A carriage is movably attached to the framework and has means for moving the carriage along the length of the framework. The carriage carries at least one rotating auger unit having leading and trailing portions mounted on one shaft and a finishing member. The auger unit has a leading portion having a helically arranged blade with an outer edge that is positioned in a fixed, spaced relationship with a desired grade. The trailing portion has a helically arranged blade with a band attached thereto to spread forward the excess concrete left by the leading portion and to finish the concrete at the desired grade. Plunging concrete vibrators are placed adjacent the auger unit leading portions.