Some extensions of the standard model predict the existence of particles having two units of leptonic charge, known as bileptons. One such model is based on the SU(3)c×SU(3)L×U(1)X symmetry group (3-3-1 model, for short). Our search uses the minimal version of the 3-3-1 model, which has exotic charges for the quarks and new gauge bosons. This model predicts the existence of bileptons as vector particles having one (V±) and two (Y±±) units of electric charge. We study the signatures for the production of four leptons by considering the contribution of a pair of bileptons in pp collisions for three energy and luminosity regimes at the Large Hadron Collider (LHC). We present invariant mass and transverse momentum distributions, the total cross section, and we determine the expected number of events for each bilepton type. Finally, we analyze the LHC potential for discovering single and double charged vector bileptons at 95% C.L. We conclude that the LHC collider can show a clear signature for the existence of bileptons as a signal of new physics. © 2013 American Physical Society.