What actions did President George H.W. Bush take to end the Cold War?
President George W. Bush was president after the Cold War had officially ended. Did you mean his father, President George H.W. Bush?
George W. Bush was elected in 2000, while the Cold War ended in 1989, at the Malta Summit, when President George H.W. Bush and Russian leader Mikhail Gorbachev declared the Cold War over. Though the Soviet Union would stagger on for two more years, its international influenced waned quickly as its Eastern European client states went through anti-Communist revolutions. If you are asking what the elder Bush did to help end the Soviet Union, he first maintained American support for Gorbachev, whom the Bush administration saw as the best course for reform in the Soviet Union. As the course of history swept aside the Soviet governments, Bush allowed them to happen and tried to make advantageous relationships with the post-Communist successor states.