Arrival by train

International

You have high speed train connections from Amsterdam Schipol (about 1.50 hour) and from Paris as well as Roissy Charles De Gaule (about 1.5 to 2 hours):
Timetable of Thalys: http://www.thalys.com/be/en/

You also have a high speed train from London to Brussels:
Timetable of Eurostar: http://www.eurostar.com/

Domestic

Antwerp Central also connects to the main stations in Belgium, Brussels is reachable by train in 40 to 45 min.

Timetables of NMBS: http://www.b-rail.be/main/E/index.php