A moving charged particle creates a magnetic field and similarly a magnetic field creates a force on a moving charged particle.
A TV (at least one with a glass tube, not a Plasma or LCD) works by firing a stream of electrons from a gun at the back to light up the screen. Since electrons are charged the magnetic field bends the beam.
ps. Be careful, most color TVs have a metal sheet just inside the glass to hold the color filter. If you hold a strong magnet too close you can permanently magnetize this sheet and make the picture permanently distorted.