The phrase "a unanimous party" is correct and usable in written English.
It can be used to describe a political party or group that is in complete agreement on a particular issue or decision.
Example: "The proposal was passed with overwhelming support, as it was clear that the members of the committee were a unanimous party on the matter."
Alternatives: "an united party" or "a united front".
Democrats in the Senate have achieved unanimous party support of the plan to undo the FCC's recently passed order gutting net neutrality.
We have made huge progress and the council has just passed a unanimous, cross-party motion of support.
Social conservatives have staged a counter-offensive within the Republican party, orchestrating a unanimous vote within the party's national committee that reaffirms its opposition to gay marriage.
Warren clinched near-unanimous party support, with all but one of the other Democratic candidates withdrawing following her entrance.
In September, it was reported that the SNP's national executive was considering a unanimous request from the party's Westminster group to reinstate Thomson.
With a unanimous sharing rule the parties' outside options are zero in a dispute over the surplus.
A statement later issued by the party said: "After a unanimous vote of the central executive committee, the NLD party has decided not to register as a political party because the election laws... are unfair and unjust".
In a statement issued after the meeting, Labour councillors said they "apologise, accept and wholly understand the concerns expressed by staff, trade unions and members of the public for the recent senior remuneration pay decision by a unanimous vote of a cross-party delegated committee".
Under the law and arbitration practice of most countries, an award is valid and binding upon the parties when rendered by a majority of the arbitrators unless the parties expressly request a unanimous decision of the arbitrators.
The local Labour party's stance is a unanimous No.
