A series of Ti-Ni-Cu brazing alloys with different composition were designed in this experiment. The influence of the alloying elements such as B, Si and Zr on the glass forming ability and performance of the brazing alloys was studied. The results show that the wettablity of Ti-Ni-Cu brazing alloys on the Si3N4 ceramics can be significantly improved by adding traces of B or Si. Under the same experimental conditions, the Ti40Ni15Cu with 0.2% B addition has the largest wetting area. The glass forming ability of Ti-Ni-Cu brazing alloys without Zr is bad. Ti40Zr20Ni20CuB0.2 and Ti40Zr20Ni25CuB0.2 of the experiment have a good wettability as well as a good glass forming ability. The Ti40Zr20Ni20CuB0.2 and Ti40Zr20Ni25CuB0.2 amorphous brazing alloy joints of Si3N4 ceramics are similar in room-temperature strength to Ti40Zr25Ni15Cu amorphous brazing alloy joints, but the high temperature strength has been improved markedly