Is it normal to have nose bleeds while pregnant?

Yes, it is. I've never had them during both pregnancies but my colleague (3 months later that I am) had them quite often during her pregnancy. This is because the blood vessels in your nose has expanded during pregnancy & with increased blood supply, more pressure is exerted on veins in your nose (which is delicate). This makes them rupture easily. Drink lots of water to stay hydrated & prevent nose bleeds from occuring. Here's an article that might better understand you more :) http://www.babycenter.com/0_nosebleeds-during-pregnancy_255.bc