Why Do I Always Feel a Heavy Pressure at my Nose Bridge?

A pressure sensation on the nose or inside the nose is unlikely to be related to any cosmetic deformity (such as a bump on the bridge of the nose). Problems with allergies, sinusitis, or other issues would be much more likely to be causing nasal pressure symptoms. In some cases, a CT scan might be needed to rule out other problems inside the nose.
Be sure to see a rhinoplasty expert or ENT surgeon as a starting point to find out the cause of the problem and possible treatment options.
Best,

            I would not expect the reduction of the hump to affect this sensation, but you may consider the rhinoplasty for hump reduction from the cosmetic point of view.  Find a plastic surgeon with ELITE credentials who performs hundreds of rhinoplasties and rhinoplasty revisions each year.  Then look at the plastic surgeon's website before and after photo galleries to get a sense of who can deliver the results.

Kenneth Hughes, MD Los Angeles, CA

A hump on the  nasal dorsum does not usually give the pressure. The pressure is likely from congestion inside the nose. You should see an Otolaryngologist to get an evaluation. Regards
Dr. J
Disclaimer: This answer is not intended to give a medical opinion and does not substitute for medical advice. The information presented in this posting is for patients’ education only. As always, I encourage you to see your personal physician for further evaluation of your individual case.

  A nasal bump  is composed of both bone and cartilage and does not usually cause any pain. Pain and pressure in the nose is usually cause from sinus related issues, and a CAT scan of the paranasal sinuses may be in order if this is been chronic in nature.