The tug of war between property rights and zoning laws : Planet Money Can the government stop you from cutting down your own tree? In many towns and cities these days, removing a tree now requires a permit. You might have to pay a fee, or promise to plant replacement trees. But sometimes, the city won't let you cut down the tree at all, even a tree in your own backyard. That's because trees are important for air quality, for flood control, and for public health.