Israeli Labor faction whip Eitan Cabel's resignation followed the release of an interim report that laid part of the blame for the Second Lebanon War on Olmert's government.
"The public has lost faith in Prime Minister Ehud Olmert," Cabel said, Haaretz reported. "I cannot continue to serve as a minister in a government headed by Olmert."
While the interim report from the Winograd Committee blamed the entire government for some of the failures of the war, it also blamed Olmert, Defense Minister Amir Peretz and others personally.
Olmert and Peretz said they will not resign, Arutz Sheva reported.
"It would not be right to quit and it is not my intention to do so," Olmert said Monday night, Arutz Sheva reported.
The prime minister said he would have a special Cabinet meeting Wednesday to discuss the report.