Inhibitory control (IC) can occur either in a neutral context (cool) or in social contexts involving emotions (hot). Cool and hot IC have specific developmental trajectories; cool IC develops linearly from childhood to adulthood, whereas hot IC follows a quadratic trajectory. Some activities can improve the IC, such as cognitive training (CT) and mindfulness meditation (MM). The aim of our study was to compare the effects of 5 weeks of computerized MM versus CT on IC performance in 66 children (9–10 years old) and 63 adolescents (16–17 years old) by specifically analyzing cool and hot dimensions in the same participants and from a developmental perspective. We fit a linear mixed-effect model on the Stroop interference score with time (pretest vs. posttest) and type of conflict (cool vs. hot) as within-participant factors and intervention group (CT vs. MM) and age group (child vs. adolescent) as between-participant factors. The findings revealed that children but not adolescents benefitted from interventions. More specifically, CT improved cool IC but not hot IC, whereas MM practice improved hot IC but not cool IC. This study supports the benefits of MM at a young age. Theoretical issues linking MM programs to emotional competence grounded in hot IC skills are considered in academic settings.