The interactions between plants and pollinators result in complex pollination networks. The effects of global climate warming on plant-pollinator networks have attracted extensive attention at present. In this paper, we attempt to introduce several major advances and some new interests in this area. Furthermore, we discussed the future research trends of plant-pollinator networks based on continuously rising temperature. (1) Climate warming makes phenology shift of plants and pollinators by affecting flowering time of plants and activity time of pollinators, which leads to a temporal decoupling of plants and pollinators. (2) Climate warming may cause changes in community structure of plants and pollinators and thus make them distribute to areas in higher latitude and altitude. These changes may result in spatial mismatch of plants and pollinators. (3) Plants and pollinators response to climate warming by increase or decrease its abundance, which may cause changes in structure of pollination networks. (4) The structure and rapid evolution of pollination networks can adapt to the changes or even collapse of interaction between plants and pollinators that result from the phenological and geographical distribution mismatch caused by climate warming. The following contents should be studied in the further research: (1) The effects of climate warming on plant-pollinator networks at large spatiotemporal scales; (2) The effects of multi-factorial synergy on plant-pollinator networks; (3) The mechanism of phenological matching caused by global warming.