A display panel driving apparatus includes a data driving part, a gate driving part and an off voltage controlling part. The data driving part is configured to output a data signal to a data line of a display panel. The gate driving part is configured to output a gate signal to a gate line of the display panel. The off voltage controlling part is configured to receive a first off voltage and a second off voltage applied to the gate driving part to generate the gate signal, measure a leakage current of the gate driving part, and control the first off voltage based on the leakage current. Thus, display quality of a display apparatus including the gate driving part may be enhanced.