The construction industry is experiencing high demand for workers. Apprenticeship programmes are essential pipelines of skilled workers into the construction industry; however, apprenticeship completion rates are only around 25%. To promote apprenticeship retention and increase the number of apprentices, it is necessary to identify factors that relate to cancellation from apprenticeship programmes (i.e., leaving prior to programme completion). Using data from the Registered Apprenticeship Partners Information Database System, we descriptively characterised completion and cancellation, then conducted a time-to-event analysis of n = 335,212 construction apprentices from 2012 to 2023 to examine factors related to cancellation. Among all apprentices, 40.1% cancelled from their apprenticeship programmes, while 24.8% completed and 35.0% were actively registered at the end of the study period. Results from the time-to-event analysis show females had significantly higher odds of cancellation than males (OR: 1.11; 95% CI: 1.08, 1.15). Compared to White apprentices, American Indian/Alaska Native (OR: 1.13; 95% CI: 1.08, 1.18), Black/African American (OR: 1.41; 95% CI: 1.39, 1.44), and multiracial apprentices (OR: 1.09; 95% CI: 1.02, 1.17) had significantly higher odds of cancellation, while Asian apprentices had significantly lower odds of cancellation (OR: 0.79; 95% CI: 0.75, 0.83). Non-unionised workers were significantly more likely to cancel their apprenticeship programmes (OR: 1.77; 95% CI: 1.74, 1.80). These results indicate that individual demographic and organisational factors can influence apprenticeship cancellation. Reducing barriers to apprenticeship completion can help address the current skilled worker shortage, and identifying factors that impact entry into the industry for minoritised groups can promote equity within the industry.