The party had high hopes of gathering support beyond disenchanted SDP voters after Croatian Spring leader Miko Tripalo left Croatian People's Party in order to join them.
In 1994, they tried to force an all-left party coalition in Croatia for the upcoming elections. The idea was rejected by Ivica Račan and SDP so they failed to realise it.
Alongside the party presidents, ASH had prominent members such as Vjeran Zuppa (prominent left-wing intellectual and dramaturge) and Tomislav Jakić (former journalist, TV reporter and advisor to president Stjepan Mesić).