The dancers confirmed they were splitting in joint Instagram statements, but added they had mutual “respect” and “love” for one another.
Meanwhile, Neil is currently on the Strictly Come Dancing Live! tour alongside former England footballer and last year’s contestant Alex Scott.
The dancing duo have been at the centre of romance rumours since their time together on the BBC show last year.
The Strictly pair have previously denied claims that they are in a romantic relationship.
Although Alex says she is single, the former professional footballer said viewers could see “chemistry” between herself and Neil because they shared a “connection.”