The present invention discloses an array substrate, a method for ink jet printing thereon, an organic electroluminescent display, and a display panel. The array substrate comprises an active region which comprises a plurality of pixel regions arranged in an array, and a contact hole region which is arranged at an outer side of the active region and comprises a plurality of contact holes. An anti-overflow region comprising at least one pixel hole is arranged between the contact hole region and the active region. By means of the pixel hole in the anti-overflow region, during ink jet printing on the array substrate, the ink flowing from the active region to the contact hole region can be made to flow into the pixel hole in the anti-overflow region, thus alleviating the problem in which residual liquid in the contact holes of the contact hole region is difficult to clean up and thus leads to display defects.