Final answer:
The split within the Labour Party in 1960 occurred during the Blackpool Conference.
Step-by-step explanation:
In 1960, the Labour Party in the United Kingdom was split during the Blackpool Conference.
The left-wing members of the party were strongly against the party leader Hugh Gaitskell, and many trade unionists were suspicious of his 1959 speech.
This division within the party led to tensions and disagreements.