The Cullen crest is a family crest that is worn by all of the Cullen family in the Twilight films. Each member wears the crest to show that they're a family, not just a coven, and it also shows their loyalty to each other. They are almost always seen wearing their form of the crest.
Each part of the crest represents something different: the lion represents strength and ferocity, which is a characteristic of the vampires. The hand is faith and sincerity, showing that the Cullens are loyal to each other. The trefoil at the bottom is perpetuality, which is lasting forever, showing the vampire's inability to die naturally.