ObjectiveTo assess the quality of childbirth care and its determinants along the continuum of care in Gondar town public health facility in Ethiopia.DesignAn institution-based, cross-sectional study was employed. Completed data were imported to Stata V.16 for cleaning and analysis. A generalised structural equation model was employed to examine the relationships along the continuum of childbirth care and to determine the factors affecting the quality of childbirth care.Setting and participantsThis study was conducted among a total of 865 women who delivered in the public health facility of Gondar, Ethiopia, from 19 May to 30 June 2022.ResultsThe study revealed the proportion of good-quality childbirth care during admission, intrapartum and immediate postpartum period was 59% (95% CI 55.7, 62.4), 76.8% (95% CI 73.8, 79.5) and 45% (95% CI 41.7, 48.5), respectively. Postsecondary educational status of mothers (β=0.60, 95% CI 0.16, 1.04) and maternal age of 25–35 (β=0.68, 95% CI 0.33, 1.02) were predictors of quality of care at admission. Referral hospital (β=0.43, 95% CI 0.10, 0.76), presence of guidelines (β=1.36, 95% CI 0.72, 1.99) and provider age of 25–35 (β=0.61, 95% CI 0.12, 1.10) affected the quality of care during the intrapartum period. Urban residence (β=0.52, 95% CI 0.12, 0.93), skilled birth attendant experience (β=0.19, 95% CI 0.11, 0.28) and number of delivery couches (β=−0.29, 95% CI −0.44, –0.13) had significant associations with the quality of childbirth care during the immediate postpartum period.ConclusionsAlthough our study found improvements in the quality of childbirth care along the continuum compared with previous studies, more workers are needed to alleviate the problem of poor-quality service. Different maternal, provider and facility factors were found to be predictors of the quality of childbirth care.