Urethritis: This condition, which is an inflammation of the urethra, can cause a constant sensation of urinary urgency, especially if the inflammation is localized near the tip of the penis. The symptoms can persist for a long time if not properly treated.

Prostatitis: Inflammation of the prostate gland can cause urinary urgency, frequency, and discomfort, which might be felt in the penis, especially the tip, due to the proximity of the prostate to the urethra.
Urinary Tract Infection (UTI): While more common in women, men can also experience UTIs, which can cause a sensation of urgency. The infection could be localized in the urethra, causing symptoms at the tip of the penis.
Overactive Bladder: This condition leads to a frequent, urgent need to urinate. Although it's more about the bladder muscle contracting too often, the sensation can sometimes be perceived as originating from the penis, especially if there's associated urethral sensitivity.

Cancer of the Urethra or Prostate: Although rare, cancers in these areas can cause urinary symptoms, including urgency. Early detection is crucial for effective treatment.
Neurogenic Bladder: Conditions affecting the nerves that control the bladder can lead to urinary urgency and frequency. This could be due to diabetes, spinal cord injuries, or other neurological conditions.

Interstitial Cystitis: A condition causing bladder pressure, bladder pain, and sometimes pelvic pain. The symptoms can be similar to those of a UTI but without the presence of an infection.
Urethral Stricture: A narrowing of the urethra caused by scar tissue, which can lead to obstructive and irritative urinary symptoms, including urgency.
Reiter's Syndrome (Reactive Arthritis): A form of arthritis that occurs in reaction to a bacterial infection in another part of the body, often the intestines or the urinary tract. It can cause urethritis, leading to symptoms of urinary urgency.