Lee Harvey Oswald on Nov. 23, 1963, after his arrest for President Kennedy's assassination. The next day, Oswald was shot and killed as he was being moved from a Dallas police station to the local county jail. dpa /Landov hide caption itoggle caption dpa /Landov The Two-Way Lee Harvey Oswald's Apartment Building Is Coming Down, Dallas Declares January 7, 2013 The man who killed President Kennedy lived in Apt. No. 2 in 1962 and 1963. In the years since, the building has been falling apart. Though the city has ordered the owner to tear it down, that hasn't happened. So starting today, city crews will be on the scene to do the work.