The skin inside your nose is fragile and filled with blood vessels. That's why even a slight injury to your nose can sometimes cause bleeding. Hard nose blowing, dry winter air, colds, and nose-picking can also cause nosebleeds. Medicines, such as aspirin and other blood thinners, can make it more likely to have a nosebleed that's hard to stop. Normally, nosebleeds aren't a cause for concern. But in some cases, they can mean that you have a more serious health problem. Know when to get medical care for a nosebleed.