The invention relates to a device for fine machining workpieces, preferably for honing and/or fineboring cylinder bores in crankcases of internal combustion engines, wherein inside a module (1) one or two horizontally displaceable machining units (10, 11, 12, 13) each are provided on two longitudinal sides (2, 3) that are opposite each other for honing and/or fineboring. Each machining unit (10, 11, 12, 13) comprises a spindle (100), a drive for creating the oscillating stroke movement of the spindle (100) and for displacing the machining unit into the working position, a tool holder (8) with a rigid axis, and a feed device (60, 61, 62, 63, 64) for the radial feeding of the machining tools, and between the longitudinal sides equipped with the machining units (10, 11, 12, 13) a service chamber (7) that can be accessed from an end side, wherein at least one tool magazine (30, 31) is associated with the machining units (10, 11, 12, 13) at the rear end side (4) of the module (1).