The window - the artist’s first work in stained glass - reflects the Queen’s love for and connection with the countryside.
Hockney’s design was created on his iPad and is set within his beloved Yorkshire and features hawthorn blossom.
It uses his distinct colour palette of yellow, red, blue, pink, orange and greens.
Hockney, 81, is one of Britain’s most-loved artists and famous for his Yorkshire landscapes and paintings of Californian life.
The new window, called The Queen’s Window, can be found in the Abbey’s north transept.
Hockney was asked to design something symbolic or representational, rather than a figurative design.
Westminster Abbey said that the result “reflects the Queen as a countrywoman and her widespread delight in, and yearning for, the countryside”.
Barley Studio, a stained glass studio based in York, created the window using traditional techniques.