GO Transit 
1 888 438-6646
36 Hunter St. E., Hamilton, ON L8N 3W8 (Downtown Terminal)
GO Transit offers rail service from Hamilton, eastbound towards Toronto along the Lakeshore West GO Train Route.  The rail service runs weekdays during peak 'rush hour' travel times.    Regular bus departures from the Hamilton GO Station (downtown terminal) connect Hamilton to Aldershot Train station to provide access to the Lakeshore West GO Train Route.  For more information about GO and train schedules visit their website.
Website

VIA Rail* 
1 888 842-7245
1199 Waterdown Road, Burlington, ON (Aldershot GO Station) 
*VIA Rail does not travel directly to Hamilton. Aldershot (between Burlington and Hamilton) is the closest VIA station to Hamilton in which regular connecting GO Transit Bus Service to Hamilton is available.
Website