The phrase "successive league" refers to a series of leagues or competitions that happen one after another, with no breaks in between.
Sentences with «successive league»
The same core group of players they had between 2010 and 2012 are the ones the led them to three successive league trophies later. (justarsenal.com)
We have won five successive league games away from home although as the pundits keep telling us most of these are against teams outside the top half of the table. (untold-arsenal.com)
Liverpool got back to winning ways in the Premier League with a third successive league win at Stoke. (anfieldindex.com)