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.

Weekend UPMC Cub Hurling & Cúl Sliotars Camogie C'ship Results
Garcia Stops Benn In Two Rounds To Claim WBC Welterweight Title
Arsenal's Perfect Record Stays With Win At Sunderland
South Africa Seal Rugby Series Win Over New Zealand With Baltimore Victory
Rybakina Beats Sabalenka To Claim First US Open Tennis Crown
Lowry Takes Four-Shot Lead Into Irish Open Final Round At Doonbeg
Maguire Set For Solheim Cup Singles Showdown As Europe And US Locked Level
Sunday Morning Sports Update