You engender trust by exhibiting the behaviours that define 'trust', such as:

- do what you say (walk the talk)
- use the organisation's objectives as the criteria for assessing all actions and initiatives
- be honest and truthful at all times
- don't allow vested interests to affect decision-making
- be reliable - if you say you will do something, then do it
- work within your abilities and recognise when others have other abilities
- be ethical and principled at all times
- be fair, balanced and considerate
- allow facts to alter your view or force a review of your decisions
- give credit where, when and to whom it is due

If you exhibit these attributes and behaviours, you will be trusted - regardless of the type of organisation.