The BBC Programme Information site is saying the new series will begin on Saturday 3rd April at 6.25pm.
The Doctor has regenerated into a brand new man, but danger strikes before he can even recover. With the TARDIS wrecked, and the sonic screwdriver destroyed, the new Doctor has just 20 minutes to save the whole world - and only Amy Pond to help him.
The date and time have not been confirmed by the BBC Press Office and are subject to change. The series is referred to as Series Five on the website and the duration of the episode is noted as 60 minutes.