Like all the other parties in Gibraltar, the GSLP supports self-determination for Gibraltar and opposes any moves toward joint British–Spanishsovereignty. The party has strong member and personal ties with the UK Labour Party with many prominent members having been involved with the Labour Party while in the United Kingdom. The GSLP also endorsed the Labour Party at the 2014 European Parliament elections as it had done on previous European elections.[7]
The party strongly supports Gibraltar's territorial integrity, in particular seeks pursuit of the recognition of the full twelve-mile limit to Gibraltar territorial waters, as is the case with other British overseas territories, and it considers Spain's violations of the current three-mile limit of territorial waters as "a hostile and unfriendly act".
In the 1984 election, the party won 34.2% of the popular vote and 7 seats.[9]
In the 1988 election, the party won 58.2% of the popular vote and 8 seats to form the new government.[10]
In the 1992 election, the party won 73.1%% of the popular vote and 8 seats.[11]
In the 1996 election, the party won 42.95% of the popular vote and 7 seats.[12]
In the 1999 by-election following the death of GSLP Opposition MP Robert Mor, Liberal Party leader Dr. Joseph Garcia (backed by the GSLP) won 51.46% of the popular vote and the seat. He was the first joint GSLP/Liberal candidate to contest an election.[13]
In the 2000 election, the party won (in alliance with the Liberals) 25.62% of the popular vote and 5 seats.[14]
In the 2003 election, the party won (in Alliance with the Liberals) 25.08% of the popular vote and 5 seats.[15]
In the 2011 election, the party won (in Alliance with the Liberals) 34.23% of the popular vote and 7 seats and, with the 3 seats won by the Liberal Party, formed the new Government of Gibraltar.[17]
Gibraltar was part of the South West England constituency in the European Parliament and its major parties formed joint ticket alliances with the major UK parties. From 2004 until Brexit, the GSLP was in an alliance with Labour.