I'm not a believer of the "Tiger mother" stereotype, but I do believe that parents need to be strict, in that they set proper limits, follows their own examples, communicate consequences, and always, always, follow through on all commitments (whether it be a punishment or a promise to the child). This (imo) sets a high trustworthiness bar in the parent/child relationship, and gives room for that relationship to grow.

"Disciplined" may be a better word - it requires a high amount of willpower to pull this off, but it's part of what you signed up for.