The game finished 2-11 to 0-12
Kildare have been knocked out of the Tailteann Cup at the quarter final stage, leading to manager Glenn Ryan stepping down.
The Lilywhites were beaten by Laois on a scoreline of 2-11 to 0-12 in O'Connor Park, Tullamore.
It brings a dismal season to a finish, after Kildare were also relegated to Division 3.
Following the defeat, Glenn Ryan announced his resignation as manager.
Laois will now play Antrim in the semi final, while Down play Sligo in the other semi.

Katie Taylor Remains Hopeful For Her Dream To Fight At Croke Park
Erin King To Captain Ireland
McIlroy Masters Defence Begins This Afternoon
Thursday Morning Sports Update
Grace Davison Breaks Irish Senior Women's 100 Metres Freestyle Record
Flick Braced For Emotional Clash As Barcelona Host Atletico
Wednesday Morning Sports Update
Harry Maguire Signs New Deal With Manchester United