This essay aims to provide an overview of some key theories and frameworks regarding moral cognition and its neural correlates, in order to examine the possibilities of enhancement of moral cognition. Moral cognition arises from the functional integration of several distinct brain regions and networks. These neural systems correspond to different socioaffective abilities, such as empathy and compassion, as well as sociocognitive abilities, such as theory of mind. Due to this neural distinction, these moral abilities, behaviors, and emotions can be targeted and trained separately. Recent research suggests that training sociocognitive and socioaffective abilities increases cortical thickness in corresponding brain regions and networks, hence providing support for adult neural plasticity in relation to moral cognition. Increased cortical thickness also corresponds to enhanced performance in socioaffective and sociocognitive abilities. Training compassion and empathy induce enhanced abilities to pick up emotional cues, as well as strengthen the motivation to alleviate others’ distress. Practicing theory of mind allows for a better understanding of the perspective of others, which has been indicated to reduce biases between individuals or societal groups. Thus, enhanced moral cognition can contribute to an increase in consideration for those affected by our choices and behavior, which may yield more compassionate, just, and safe societies.