The invention provides an organic light emitting display panel and an organic light emitting display device. The organic light emitting display panel comprises: an organic light emitting device; an array substrate, which comprises multiple film transistors, wherein the film transistors comprise driving transistors, and the driving transistors are used for providing current to the organic light emitting device; and multiple data lines and multiple anode wires, wherein each anode wire comprises at least one shielding portion, each data line comprises at least one first segment, and in a direction of a plane perpendicular to the array substrate, each shielding portion is positioned between a grid electrode of one corresponding driving transistor and the first segment of one corresponding data line, and orthographic projections of the grid electrode of each driving transistor and/or the first segment of one corresponding data line in a plane of the array substrate are positioned in the area of the corresponding shielding portion. Signal crosstalk of the data lines upon the grid electrodes of the driving transistors is weakened or eliminated, and the display reliability is improved. Moreover, the anode wires are widened, so a good shielding effect is exhibited, the problem of voltage drops of anode wires is eased, and display uniformity is improved.