Behavior of solids and liquids confined in nano domain has great relevance in fundamental research as well as applications in nanotribology, nanofabrication, membrane separation, interfacial adhesion and lubrication. In this work, we have studied phase transition behavior of different organic liquids confined in nanopores of ZSM-5 zeolite and silica using temperature dependent positron annihilation Doppler broadening and lifetime spectroscopy. It is observed that the freezing and melting properties of liquids confined in nanopores are different from their bulk behavior. The liquid molecules (isopropanol) that feel more attractive interaction with the pore wall show an increase in freezing temperature. Similarly, a liquid like benzene which is weakly attractive with pore wall as compared to its solid phase show a decrease in its freezing point under confinement. The confining pore diameters are in the range of 10-60 Å. It was observed that the shift in phase transition temperature does not follow classical Gibbs-Thomson relation.