Person Re-identification (Reid) is the process of matching target individuals to their images within different images or videos captured from a variety of angles or cameras. This is a critical task for surveillance applications, in particular, these applications that operate in large environments such as malls and airports. Recent studies use data-driven approaches to tackle this problem. This work continues on this path by presenting a modification of a previously defined loss, the centroid triplet loss (ctl). The proposed loss, modified centroid triplet loss (mctl), emphasizes more on the interclass distance. It is divided to two parts, one penalize for interclass distance and second penalize for intraclass distance. As a result of this adjustment, a new state-of-the-art results of 98.4% rank1, 98.63% mAP on market-1501, and 96.8% rank1, 97.3% mAP on DukeMTMC-Reid were achieved.