From the opinion:

In sum, we hold that the District’s ban on handgun possession in the home violates the Second Amendment, as does its prohibition against rendering any lawful firearm in the home operable for the purpose of immediate self-defense. Assuming that Heller is not disqualified from the exercise of Second Amendment rights, the District must permit him to register his handgun and must issue him a license to carry it in the home.

We are aware of the problem of handgun violence in this country, and we take seriously the concerns raised by the many amici who believe that prohibition of handgun ownership is a solution. The Constitution leaves the District of Columbia a variety of tools for combating that problem, including some measures regulating handguns, see supra, at 54–55, and n. 26. But the enshrinement of constitutional rights necessarily takes certain policy choices off the table. These include the absolute prohibition of handguns held and used for self-defense in the home.

Undoubtedly some think that the Second Amendment is outmoded in a society where our standing army is the pride of our Nation, where well-trained police forces provide personal security, and where gun violence is a serious problem. That is perhaps debatable, but what is not debatable is that it is not the role of this Court to pronounce the Second Amendment extinct. We affirm the judgment of the Court of Appeals.

It is so ordered.

The entire opinion, including the dissent, is worth reading. I'm still working through it (lots of footnote stuff)