Tattoos of crowns typically symbolize authority, leadership, or royalty. The first thing that many people think of when they see a crown is monarchy. Individual tattoos can symbolize different things to different people.
When combined with a cross, a crown can also stand for victory. In this instance, the cross would represent Christianity. It is common for a monarch's crown to be designed with a cross, as many monarchs have believed that God gave them the divine right to lead. There are often several symbolic meanings behind each tattoo design, but leadership and authority are the most common meanings behind crown tattoos.