In the aspon model solution of the strong CP problem, there is a gauge
d U(1) symmetry, spontaneously broken by the same vacuum expectation v
alue which breaks CP, whose massive gauge boson provides an additional
mechanism of weak CP violation. We calculate the CP asymmetries in B
decays for the aspen model and show that they are typically smaller th
an those predicted from the standard model. A linear relation between
the CP asymmetries of different decay processes is obtained.