Principles from "Permaculture: A Designers' Manual" by Bill Mollison

Work with nature rather than against
The problem is the solution
Make the least change for the greatest possible effect
The yield of a system is theoretically unlimited
Everything gardens (or modifies its environment)

David Holmgren Principles

See http://permacultureprinciples.com/ for case studies and examples of each of David Holmgren's principles.

Principles from "Introduction to Permaculture" by Bill Mollison & Reny Mia Slay

Relative Location
Each element performs many functions
Each important function is supported by many elements
Efficient energy planning: zone, sector and slope
Using biological resources
Cycling of energy, nutrients, resources
Small-scale intensive systems; including plant stacking and time stacking
Accelerating succession and evolution
Diversity; including guilds
Edge effects
Everything works both ways
Permaculture is information and imagination-intensive