A related US and Czech Republic deal was also reached on the
"The radar will be linked to other US missile defence facilities in Europe and the United States," a joint communique from the two countries said.
Nato's statement will call on Russia to accept US and Nato offers to co-operate on the system, which will also involve 10 interceptor missiles to be based in Poland.
Decisions on which former Soviet states would be permitted membership action plan (Map) status, which puts applicants on a clear path to membership, were also made.
Albania and Croatia were officially invited to join, but Macedonia
The news prompted the Macedonian delegation to walk out of the summit.
The Greeks consider the Macedonian membership a claim on their northern provinces of the same name.
The summit also vowed to "support each other in sharing the burden" of fighting the Taliban in Afghanistan by providing their military commanders with more forces and training teams.
Meanwhile, Nicolas Sarkozy, the French president, announced that he would decide in the coming year on whether to return to Nato's military command, which Paris quit in 1966.