Known in Australia as "Die Hard 4.0" this is an excellent movie and a worthy addition to the Die Hard series.
But be warned - the same chimpanzee that threw the camera around wildly from time to time in The Bourne Ultimatum has been hired for some shots in this movie too. Sometimes the camera is jerking around so aimlessly that it may not only confuse your sense of what is happening story-wise, it may cause nausea and motion sickness. This is purely moments of crazy camera work that snuck by the editor (or looked cool on a tiny editing screen?) - the movie overall is great!