Influence of the guide field on quick magnetic reconnection triggering (QMRT) is investigated by three-dimensional (3-D) full-particle simulations with the mass ratio of 400. Here two runs with different current sheet thickness (D = 0.35 and 0.5, D: the current sheet half thickness normalized by the ion inertial length) are performed with a constant guide field of B0y = 0.75B0x (B0x: asymptotic magnitude of reconnecting component). QMRT has been found in a null guide-field case of D = 0.5 ~ 0.875 and is quick because reconnection onset is directly coupled to the most quickly growing mode in the system, the lower-hybrid drift instability (LHDI) (I. Shinohara and M. Fujimoto, Quick triggering of magnetic reconnection in an ion-scale current sheet, submitted to Physical Review Letters, 2004, hereinafter referred to as Shinohara and Fujimoto, submitted manuscript, 2004). In contrast D = 0.5 with B0y = 0.75B0x is too thick to be subject to QMRT. Recovery of QMRT is found at D = 0.35, accompanying a single X-line formation with slight delay from the LHDI saturation.