Those MPs had refused to denounce federal Senator Fraser Anning for using the Nazi-associated phrase"final solution"during his first speech in Federal Parliament.
The referral followed the Crime and Corruption Commission finding the premier has technically breached the law through her actions,but left it up to the parliament to decide how to proceed.
KAP Queensland leader Robbie Katter,as well as the LNP opposition,have called for Ms Palaszczuk to stand aside pending the outcome of the investigation,
"This may not be the popular move in terms of the government but it is on the government now to say for the premier to stand down until this is resolved,"Mr Katter told ABC Radio on Saturday.
Ms Palaszczuk says she's not the first premier to be referred to the ethics committee and she doesn't see a need to stand down.
"Just go back through the history,I'm sure there's plenty. I'm probably in good company,"Ms Palaszczuk said on Sunday.
Ms Palaszczuk has been referred to the ethics committee a handful of times when she was opposition leader,while former premiers including Campbell Newman,Peter Beattie and Anna Bligh were all also referred at various times.