Governance principles reflect procedural values that govern the means of implementing public policies. Using survey data from Italy and the United Kingdom, we explore the public’s orientations towards those principles. We model them as instrumental values in belief systems, and as components of a network of attitudes. We find that governance principles largely occupy their own community; their interdependence with each other is far greater than their dependence on any other values or attitudes. Public employment experience neither alters the internal integration of governance principles nor changes their relationship with the larger belief system. We observe low levels of dynamic constraint among governance value orientations and show evidence that higher-order values account for the greatest influence over them. They remain strikingly invariant to simulated shifts in other attitudes, though modestly more constrained in Italy than in the UK. Our results suggest that orientations towards transparency can be most strongly influenced by other beliefs.