is a sign of gingivitis
which means that Calculus
and plaque deposits have weekend your gums and that is why blood vessels r engorged with infection.
The best treatment for this is to visit a dentist
so the cleaning and oral disinfection can be done, which is to be repeated every 6 to 8 months depending upon your situation. This will take care of your problem otherwise the damage is going to extend deep inside the bone which will make it difficult to control bleeding
and destruction of bone around the teeth.