Can I become a military airline pilot if I have asthma?

No. The military generally excludes asthma sufferers from service.
Pilot req. For requirements to become a pilot, i would start by looking at the www.Faa.Gov website. For requirements to be in an armed forces branch, each branch has its own website. Remember there are general armed forces medical requirements -http://usmilitary.About.Com/od/joiningthemilitary/a/intmedstandards.Htm.
Depends. The ultimate answer lies with the recruiter & your preliminary physical examination. If your have severe asthma you probably won't qualify but intermittent or mild persistent asthma that is controlled with medication is not an absolute contraindication to working as a pilot. Have a frank conversation with your recruiter. Good luck.