The RR Page charges for the D2-, D4-, D6-brane in B fields are constructed explicitly from the equations of motion and the nonvanishing (modified) Bianchi identities by exploiting their properties - conserved and localized. It is found that the RR Page charges are independent of the background B fields, which provides further evidence that the RR Page charge should be quantized. In our construction, it is highly nontrivial that the terms like B boolean AND B boolean AND B, B boolean AND B boolean AND F, B boolean AND F boolean AND F from different sources are exactly cancelled with each other. (C) 2001 Elsevier Science B.V. All rights reserved.