There is some folklore that you should get your honey from local sources such that it is made from the same pollen that is inducing your asthma. ymmv.
Bee bread: http://en.wikipedia.org/wiki/Bee_pollen
Someone suggested this and all I can say is that after a few years I don't have the allergy attacks anymore. Not even when I mow the lawn.
Since I stopped taking Claritin or anything like it I can only assume the honey did _something_.