A current model is presented for forward-biased organic diodes at both high temperatures and low temperatures. The classical current model, which consists of two parts: the exponential-trap-based space-charge-limited current (SCLC) model in the high-voltage regime and the Ohmic current model in the low-voltage regime, can describe the Arrhenius-dependent current at high temperatures, but cannot describe the non-Arrhenius-dependent current at low temperatures. Introducing effective temperatures, the current model is presented. The presented model can describe both Arrhenius-dependent current at high temperatures and non-Arrhenius-dependent current at low temperatures. In particular, the presented model is compared with the well-known universal curve equation.