No record/evidence exists for a Jesus-grave being venerated in the 1st century.1 This is relevant because “Had such been the practice of the first Christians [for Jesus's tomb], with all the significance which the very practice itself presupposes, it is hard to believe that our records of Jerusalem Christianity and of Christian visits thereto would not have mentioned or alluded to it in some way or at some point.” [James Dunn, Jesus: The Evidence (Westminster, 1985), 67.]
Normally, for prominent ancient figures of this kind, we have such references to their tomb, and with respect to Jesus we especially have an abundance of early Christian information in which we would have expected references to turn up, if such a tomb were in fact venerated.2