Leeds revived their hopes for a top two finish but had to work hard to hold off a late Yeovil revival.
The Leeds' hero was skipper Richard Naylor, who moved up from the back to head them in front in the 28th minute - the Yorkshire club's first goal for almost seven hours.
The central defender also got his head on the end of a Neil Kilkenny corner to head a brilliant second goal six minutes later.
It looked all over for Yeovil, especially as Leeds dominated the second half, with Naylor almost completing a hat-trick when a header in the 57th minute was cleared off the goalline by Scott Davies.
But Yeovil refused to lie down and in the 66th minute Dean Bowditch picked up a pass from Gavin Williams and held off a defender to slide the ball past visiting goalkeeper Shane Higgs and in off the far post.
Copyright (c) PA Sport 2009, All Rights Reserved.
Do YOU want to write for GiveMeSport? Get started today by signing-up and submitting an article HERE: https://www.givemesport.com/writeforgms