The people who work for you must be trusted. If they're not trustworthy (or if you don't trust them), your project will fail. If they don't trust you, your project will also fail. Your people can tell as quickly that you don't trust them as you can when your boss doesn't trust you.
The first rule of trust is listening. There are many opportunities to listen to your people: when they visit your office to tell you about a problem they are having, when you need an estimate from them for a software development, when you are managing by walking around (MBWA), among others. Whenever your people are talking to you, listen and hear. They consider what they are saying to be important or they wouldn't be telling you. There are many ways to let them know you are listening: eye contact, appropriate body language, "playing back" what you think you heard them say, asking appropriate questions to solicit more information, and so on.
Reference:
Francis, P., Principles of R&D Management, New York: AMACOM, 1997.
