We report on magnetic measurements as a function of field, temperature and time (relaxation) in superconducting Nb films of critical temperature Tc = 9.25 K. The magnetic measurements as a function of field exhibited a "second magnetization peak" ("SMP") which in general is accompanied by thermomagnetic instabilities (TMIs). The lines H′′ smp ′′ (T ) where the "SMP" occurs and the H fj (T ) where the first flux jump in the virgin magnetization curves is observed, end at a characteristic point (To, Ho) ≈ (7.2 K,80 Oe). Relaxation measurements showed that for T < To ≈ 7.2 K the activation energy Uo and the normalized relaxation rate S exhibit non-monotonic behavior as a function either of temperature or field. The extrema observed in Uo and S coincide with the points Hon(T ) or H′′ smp ′′ (T ) of the "SMP". In the regime T > To ≈ 7.2 K both Uo and S present a conventional monotonic behavior. These results indicate that the "SMP" behavior observed in our Nb films is promoted by the anomalous relaxation of the magnetization.