They do have the capability to hit us with the Taepodong-2 space rocket.
Pyongyang says the Taepodong-2 three-stage space rocket is part of its civilian space program, a launch vehicle for delivering satellites into orbit. Outside experts, on the other hand, have long seen the country's space program as a cover for a missile development program. Here's last February's Taepodong-2 launch.
In a post dated September 17, the highly respected ArmsControlWonk blog unveils a grim assessment about North Korea's nuclear missile program. At least one North Korean rocket could theoretically deliver a nuclear warhead to virtually any point in the United States.
For more than a decade, North Korea's number one security goal has been putting a nuclear warhead on a missile that can reach the U.S. The North reasons that only nuclear deterrence—the ability to strike back with nuclear weapons if someone launches a first strike on you—will deter the United States from interfering militarily on the Korean peninsula.
North Korea has been busy testing all kinds of missiles. Pyongyang's Musudan missile will eventually be able to reach Guam with a nuclear warhead. Experts think the KN-08 mobile missile may be able to place a small nuclear warhead on the West Coast of the U.S. by 2020. And the KN-11 submarine-launched missile is a short-ranged missile that will eventually reach intercontinental ranges. While many of these missile tests have been failures, North Korean engineers appear to be learning from their mistakes, with each flight going a little farther before breaking up in midair.
http://www.popularmechanics.com/military/weapons/advice/a22948/north-korea-icbm-range-united-states/
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