The aim of the study is to evaluate the mediating role of psychological well-being between the satisfaction/frustration of Basic Psychological Needs (BPN) and Healthy Organisational Outcomes, with a gender perspective. In a sample of 565 workers (65% women, response rate 72%) from two Colombian food companies, using Multigroup Structural Equation Models to test the invariance among gender, the study hypotheses were partially supported. The results show that: (1) psychological well-being fully mediates the relationship between BPN satisfaction and Healthy Organisational Outcomes; and (2) only work engagement mediates the relationship between BPN frustration and Healthy Organisational Outcomes. Specifically, people (women and men) whose basic needs are satisfied experience greater well-being and better Healthy Organisational Outcomes. In contrast, people whose BPN are frustrated experience lower levels of work engagement, which, in turn, influences their Healthy Organisational Outcomes. However, structural differences were observed among the variables, attending to gender, when invariance model grouping by gender was tested. Furthermore, ANOVA by gender found significant differences in the autonomy dimension of frustration and organisational affective commitment, in favour of men. The present study contributes to the scarce research on the role of BPN levels as a relevant driver in the development of psychological well-being and Healthy Organisational Outcomes.