In this paper, a new lifetime family of distributions called 'New Family of Kies Burr III (NFKBIII) distribution' was developed by using T-X family technique. The NFKBIII distribution is very flexible and its hazard rate function accommodates various shapes such as increasing, decreasing, increasing-decreasing-increasing, and bathtub. The density function of the NFKBIII was arc, J, reverse-J, U, bimodal, left-skewed, right-skewed and symmetrical shaped. Some structural and mathematical properties including quantiles, sub-models, ordinary moments, moments of order statistics, incomplete moments, mean deviations, inequality curves, residual life functions, and reliability measures were derived. Two characterizations for the NFKBIII distribution were studied. The Maximum Likelihood Estimates (MLEs) for unknown parameters of NFKBIII distribution were obtained. A simulation study was performed to evaluate the behavior of the maximum likelihood estimators. The NFKBIII distribution was applied to two real data sets to illustrate its potentiality and utility. The adequacy of the NFKBIII distribution was tested via different goodness of fit statistics.