An improvement in an injection press composite molding machine, provides a nozzle touch mechanism in which even when the horizontal injection unit expands or contracts due to heat, the positional relation between the injection nozzle and the mold remains unchanged, and in which initial alignment of injection nozzle with the mold is easy, and further in which the thermal expansion or contraction thereof is small. An adjusting mechanism (40) for adjusting the position of an injection nozzle (10b) is provided on an upper portion of the stand (9) which presses the injection nozzle (10b) onto a lower mold (3). A positioning stopper (21) is provided for one end of a base (14) to which a table (4) of a horizontal injection unit (10) is journaled. The adjusting mechanism has a plurality of bolts for adjusting the vertical and horizontal positions of the injection nozzle. A heat insulating member may be interposed between the tips of these bolts and the injection nozzle.