Because the bible says in Act 15 ''to keep abstaining from
things sacrificed to idols and from blood''
The Governing Body of Jehovah's Witnesses, as the representative
of the 'faithful and discreet slave', have determined, based on
their current understanding of Acts 15, that Witnesses are not
allowed transfusions of whole blood, red cells, white cells, plasma
or platelets. They are allowed transfusions of all of the component
parts of these components.
The Watchtower 15/2/2009 p27 says 'Since Jehovah God and Jesus
Christ completely trust the 'faithful and discreet slave', should
we not do the same?'