The result from the Wyoming contest yesterday brings Cruz's total to 559
The delegates were chosen by party members rather than ordinary voters but Donald Trump - who did not actively campaign in the state - remains the Republican front-runner overall on 743.
However Trump could fall short of the number of delegates needed to secure the Republican nomination for the November presidential election, which would mean a contested convention where voting for candidates starts again from scratch.
Trump is concentrating on New York, which holds a key primary on Tuesday.
The BBC has more here.
Ted Cruz - Clearing up in Wyoming
