The ceremony where roses are handed out in 'The Bachelor' franchise is called the rose ceremony.
During a rose ceremony, the lead offers roses to contestants he or she wants to keep in the competition. Contestants who do not receive a rose generally leave the show, although the exact structure can vary during special episodes or unusual format twists.
The rose is the franchise's central symbolic object. It represents continued romantic interest and gives the elimination process a distinctive visual ritual. The lead commonly says a contestant's name before handing over the flower.
The term applies across the franchise, including 'The Bachelorette' and related spin-offs. It should not be confused with a final proposal or the so-called final rose, which refers to the last rose offered in a particular ceremony. The weekly event can occur throughout the season, long before the finale.