Contrary to popular belief, overly energetic brushing to remove dental plaque is not a good thing for healthy teeth and gums. The aim is to not make the gums bleed, as healthy gums should not be bleeding. If you do find that your gums are bleeding, it may be a sign of gingivitis, which requires treatment. If you do find your gums to be sensitive or bleeding after brushing, you can choose a softer toothbrush and relook your brushing technique. Ask your dentist for advice if you are uncertain.