An OLED driving circuit, an array substrate and a display device are provided. The OLED driving circuit includes a plurality of driving TFTs and a plurality of sense TFTs. Each sense TFT is configured to compensate for a threshold voltage of the respective driving TFT. Each sense TFT corresponds to a respective one of the driving TFTs, a source electrode of each sense TFT is connected to a sense line, and a drain electrode thereof is connected to a drain electrode of the respective driving TFT. The plurality of sense TFTs is divided into a plurality of groups, each group includes at least two sense TFTs which share a same gate electrode and a same source electrode and are connected to a same sense line.