We present new constraints on neutrino secret interactions ($\nu$SI) by studying high-energy neutrinos from well-known astrophysical sources, such as SN1987A, the blazars TXS 0506+056 and PKS 0735+178, and the active galactic nucleus NGC 1068. Our analysis focuses on Dirac neutrinos interacting with a massive spin-one boson as they propagate through the Cosmic Neutrino Background (CνB). We consider both ultra-relativistic and non-relativistic regimes, deriving bounds on the $\nu$SI coupling constant across the full mass range. Our results obtained using analytical methods, demonstrate significant constraints on the $\nu$SI coupling in the low-mass mediator mass region for a given cut parameter.