The target of this paper is to present Partial fuzzy metric-preserving functions and characterize the functions $f:[0,1]\to[0,1]$ with this aspect. We give a characterization for Partial fuzzy  metric-preserving functions considering the different t-norms. Also, we show that the topology induced by Partial fuzzy metric does not preserve under these functions with  an example. Then we  give a characterization of those Partial fuzzy metric-preserving functions which preserve completeness and contractivity under some conditions. Finally, we discussed the relation between fuzzy  metric preserving and Partial fuzzy preserving functions.