The invention relates to a detonating tunneling pipe-jacking construction method which is characterized by comprising the following steps: 1) measuring and calibrating hole positions; 2) drilling holes and checking holes; 3) charging powder; 4) detonating and tunneling; 5) ventilating and manually removing slag: ventilating in time after completing detonation, and then manually removing slag with a slag wagon; 6) jacking a cement sleeve pipe, repairing the holes after removing slag, and then adopting a jacking device for jacking the cement sleeve pipe and preparing the next time of detonating tunneling. The detonating tunneling pipe-jacking construction method has the advantages that the detonating, tunneling and pipe-jacking are applied to the rock mass section and the construction method is quick and effective.