Dowie: 'Leeds Deserved It'
Palace chief Dowie offered no excuses for his team's first home defeat in the Championship in 2006.
The home side did not test Leeds goalkeeper Neil Sullivan until the final 25 minutes, and their manager accepted they had not been good enough.
Dowie: 'Leeds deserved to win today. They were not massively better than us, but we didn't get going until the latter stages.
'We seemed to lack hunger, and that was disappointing. We were second-best far too often in both boxes; it was a really flat performance.'
Dowie's men - who play Leeds again at Elland Road on March 21 - are 15 points adrift of an automatic spot with 10 matches remaining, and he added: 'This was a big opportunity missed for us. We still hope to be able to reach second place, but we are making life very difficult for ourselves.
'There is now a mountain for us to climb.'