LabourList has this article which says that the Labour Party is now very supportive of ending “First Past the Post”, which is the common British term for the type of system that the United States, Great Britain, and Canada use…single-member districts, with whichever candidate getting the most votes being elected.
LabourList is considered one of the four biggest political blogs in Great Britain. It has existed since 2009. The story is by Joe Sousek, national coordinator of Labour for a New Democracy.
In the past, the Labour Party has been an opponent of changing the system. The Liberal Democratic Party has been Britain’s chief advocate for a change. Thanks to Fairvote for the link.