We present high-spatial resolution (3 ''-5 '') interferometer data combined with single-dish maps of the CO J=1-0 emission from the powerful molecular outflow originating near Orion IRc2, The outflow robes are spatially resolved, weakly bipolar, poorly collimated, and we find no evidence for a jetlike molecular outflow. Instead, the CO outflow lobes fill a wide (greater than or similar to 2130 degrees) opening angle biconical flow, surrounding the Herbig-Haro objects and shocked H-2 knots. The overall structure of the outflow is strongly affected by the clumpiness of the ambient gas. In particular, it seems that the lobe to the southeast is partly blocked by dense gas in the hot core. None of the current jet or wind outflow models are sufficient to explain the kinematics of the OMC 1 outflow. However, we suggest that a simple biconical flow model, in which the flow to the southeast is partly truncated by the hot core, is consistent with the data.