The relay needs quite a large current to make it work and the phototransistor has too much resistance, even in bright light, to let that much current flow.
So, you need an amplifier like this:
http://dl.dropbox.com/u/4222062/Relay%20driver%203.JPG
Although you might need a bit more than 6 volts (maybe 9 volts) and you might need a resistor in series with the phototransistor (maybe 1000 ohms). But it might work well enough as shown.
The transistor can be a small power transistor like a TIP31 or a BD139.