We investigate the interaction and fragmentation of a pulsed laser induced micro-bubble B1 by another laser induced micro-bubble B2. The high pressure field associated with the expanding B2 compresses B1, associated with an axial jet on B1 through inertia dominated Richtmyer-Meshkov surface instability. The further interplay of the penetrating jet and the pressure field of the forward flow surrounding B 1 induce complicated patterns in the next re-expanding stage of B1, which leads to different spherical bubbles of different sizes at the end of the third collapsing phase of B1. The backward interaction from B1 also induces backward jetting and entanglement on B 2. For two symmetric bubbles generated at the same time, a thin lubrication liquid layer can be formed between the two bubbles, which can be unstable at the large laser energy. For two bubbles formed at slight phase delay at short distance, the impact of the second expansion bubble leads to the formation of multiple jets on the collapsing bubble B1.