<p>The triple collision represents a fundamental singularity in the equations of motion for the three-body problem. Building upon previously identified triple collision orbits with equal masses, we employ the Clean Numerical Simulation (CNS) and the numerical continuation method to compute triple collision orbits for the free-fall three-body system with unequal masses. We first identify triple collision orbits for the three-body system where two bodies have unit mass, while the third body has various masses. Additionally, we extend our computation to obtain the triple collision orbits for the three-body problem with different masses. Numerical evidence is presented to demonstrate the asymptotic behavior of triple collision orbits with unequal masses. Our findings have potential inspiration for the study of the dynamical characteristic around the singularity of three-body systems.</p>