Justice is presented in More's Utopia as a very rigid set of rules all people are expected to follow (especially those in charge based upon the ideology that "the welfare or ruin of a commonwealth depends on the character of the officials.”
Therefore, certain laws were put into place regarding different crimes and punishments.
For example, the laws of the lands had different levels depending upon crimes of the population and crimes of those in power. The society had laws regarding "fixed penalties" (regarding adultery (and number of offences), intercourse before marriage, suicide, and divorce).
Above and beyond all punishment, the focus of justice in the society was to simply destroy the vices held by men in order to save them.