Davenport gained recognition in the late 1980s and early 1990s as part of the Young British Artists (YBA) movement, which also included artists like Damien Hirst and Tracey Emin. He became known for his innovative approach to painting, particularly his "Poured Lines" technique. In this method, Davenport pours paint down a tilted surface, allowing it to flow and create intricate patterns. The result is often vibrant and dynamic, with colors blending and interweaving in unique ways.

Over the years, Ian Davenport has exhibited widely in solo and group shows internationally. His works can be found in major public and private collections. Apart from his signature poured paintings, he has also explored other techniques and mediums, including printmaking.