Blinking red light indicates low battery (when phone is not connected to charge). It should turn to a steady red light when charging. Is it steady when you have connected the charger?
If not, you probably have a faulty battery or faulty charging circuit in the phone.
If so, how long have you left it on charge? Leave it on charge for 1-2 hours and see if it starts to charge.
(I suggest this because I had a android phone with a completely flat battery which initially did not respond to the charger, so with nothing to lose I left it on charge, after 1.5hrs it suddenly kicked into life and started charging and subsequently took another 3 hours to fully charge - and has been good for over 12 months now charging normally)
If it does not respond at all after you have tried the above you probably have a faulty battery or faulty charging circuit in the phone. Check your warranty details and if still valid contact the maker.