As per his Twitter account:
We are very sad to say that Ginger has passed away peacefully in hospital this morning. Thank you to everyone for your kind words over the past weeks.
From the New York Times:
Mr. Baker drew worldwide attention for his approach to the drums, as sophisticated as it was forceful, when he teamed with the guitarist Eric Clapton and the bassist Jack Bruce in the hugely successful British band Cream in 1966.