Euler equations with chemical reaction were used to compute the problem of detonation initiation by hot jet in supersonic premix flow.While the flow is faster than CJ(Chapman-Jouguet) detonation velocity,the bow shock wave induced by the jet has an important effect on detonation initiation.Transverse waves arising from instability of detonation wave are the key factors to determine whether the detonation waves initiate completely.The angle of hot jet can impact the initiation and stationary properties.Decreasing the jet angle may result in three situations: steady after initiation,unsteady after initiation and unsuccessful initiation.