People are particularly attracted to groups that value morality. However, in social and work life, team decision-making sometimes involves balancing moral considerations with achievement goals in ambiguous situations. We examined how the importance attached to morality and competence in experimentally created task teams influenced perceived team attractiveness and motivational responses. Results showed that team attractiveness was fully determined by value attached to morality in a team. However, cardiovascular responses revealed that when actually engaging in a team interaction where unanimous decisions had to be made about competing considerations, value attached to both morality and competence in a team influenced participants’ motivational states. Congruence between the value attached to morality and competence elicited adaptive challenge responses, while incongruence between these team features elicited maladaptive threat. These results have important theoretical and practical implications.