Julian Leeser has called for ideological shifts from Labor and The Greens on accepting an award for his advocacy for the Voice to Parliament.
The former shadow attorney general and shadow minister for Indigenous Australians resigned to the Coalition backbench after the opposition formally announced their position against the Voice.
Mr Leeser, who previously co-chaired a committee on constitutional recognition for Aboriginal and Torres Strait Islander peoples, actively endorsed the proposal.
Tasmanian MP Bridger Archer and Senator Andrew Bragg joined Mr Leeser as Liberal parliamentarians who actively expressed their support.
Per party policy, Liberal backbenchers are open to vote against party lines.
Mr Leeser urged other major parties to adopt the flexibility.
"In the other parties, I'd be expelled for acting on my convictions," he said on Tuesday.
"My call to the Labor Party is to forsake the binding pledge you force your members to sign. It is an antiquated relic of the past. And to the Greens it is to formalise the right of conscience rather than the current rigid demand for ideological compliance.
"It is time to give your members and senators the same freedom - because conscience matters and change only occurs when the status quo is challenged.
"One of the lessons of this past year is that we need more persuasion, negotiation, compromise and common ground in this country."
Mr Leeser warned "the problem with an all or nothing approach is sometimes you end up with nothing" in calling for more flexibility in politics.
Partisan stance dominated debate in the infancy and lead up to October's referendum.
"All of us in public life have to work harder in finding common ground - to engage in the messiness of interacting with others outside our political tribe and tradition," Mr Leeser said.
Mr Leeser's plea came in accepting the Uniting Church's NSW/ACT's inaugural award for political courage.
Despite Australian voter's overwhelming rejection of constitutional change, Mr Leeser said he maintains faith in the path ahead.
In a statement on October 14, he expressed compassion to Aboriginal and Torres Strait Islander people.
"This was a vote about the Constitution, it was not a vote about you. It is an undeniable fact that you are our land's first peoples and I honour you this night," Mr Leeser said in a statement.
"I pledge everything in my being to keep walking the path of reconciliation with you.
On Tuesday, he said his acceptance of the award was "tempered by my feelings for Indigenous Australians who are feeling bruised at this time" before backing up his call to reach meaningful change in future.
"I believe the cause of reconciliation is a cause that will ultimately succeed. It will be different than what we imagined 10 days ago, but it will succeed," he said.
"And it will, and must, because of the necessity of closing the gap - because the education, health, safety and housing gaps that exist, should not exist in a county as wealthy and prosperous as Australia."
