Growth and remodeling are among the main features of living tissues. Within the growth mechanics, living systems can be formulated by mechanical phenomena and continuum mechanics. As shown by Fung’s experiments, biological tissues are not stress-free even when entirely unloaded. Moreover ignoring the residual stress and its effects may lead to erroneous results. The exact origin of residual stresses in living tissues is not clear, but one of their main causes is tissue growth. In this research, we have implemented the concept of fictitious configuration for growth mechanics in order to determine the residual stresses due to growth in the tissues. Tissue growth itself occurs in response of the changes in the stress state, but at the same time growth under loading changes the equilibrium state of stress. Hence determining the residual stresses due to growth requires an iterative method. We propose a gradual growth method together with a loading-growth-unloading procedure to estimate tissues residual stresses. The method is applied to a model of healthy human facial tissues.