Who do you think would make the best Labor leader?
"At this point, I can not reconcile the important responsibilities I have to my family with the additional responsibilities of the Labor leadership", Ms Plibersek said in a statement.
"We fell short", he told reporters in Sydney on Tuesday.
Mr Fitzgibbon said he would "much rather someone else" be leader than himself.
Mr Albanese, from the party's left, indicated on Sunday he'd make a second tilt for the leadership, which he lost to Bill Shorten in 2013.
In his campaign Scott Morrison was also effective in using the personal stories of retirees who would be hit by the franking credits policy.
"We opened ourselves up to that opportunity because we weren't prepared to do the simple thing and say "Yes, we will support Adani if can stand on its own two feet and pass the high hurdles that we set".
"Quite clearly one of the issues I think that was very hard for us was that the measures that we were proposing about the dividend issue impacted on people's hip pockets, and some of those, of course, weren't very wealthy people", Mr Albanese said.
Sources said Chalmers would not run if Bowen, also from the right, stood.
Windows 10 May 2019 Update now rolling out to everyone… slowly
After the transition, we will be removing group messaging from this app to focus on console settings and simplify our apps. Those who think that the above is not enough and hope to get more from the next feature update might be disappointed.
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NEIL MITCHELL: You're an old lefty - are you sure it won't scare the horses?
"Now is not my time", she said.
Divisive slogans attacking "the top of town", an unclear message on coal mining which made voters believe their jobs would be at risk, and the franking credits policy are being blamed by Labor for the party's election loss.
Plibersek said that she recognises some people may be disappointed with her decision but she intends to continue as deputy leader until the new party leadership is determined.
Ms Plibersek has spent the last 24 hours consulting colleagues and had the support of Mr Shorten and the public backing of former Prime Minister Julia Gillard.
The leadership will be decided by a vote of grassroots members and the federal parliamentary caucus, with each group given 50 per cent weight.
The party's national executive will meet on Wednesday to discuss the election process.
The search for the next leader is expected to take about one month. Pressed on Labor's emissions reduction target, he said "everything's up for grabs" after the election.
"We got one-in-three Australians to vote for us".