Environmental changes significantly affect urban ecological systems that are supported by green infrastructure. Therefore, assessment of the health of green infrastructure is virtually a quality assessment of the residential environment. For the sustainable and healthy management of urban environments, we need an effective system for estimating, diagnosing, and constructing assessment tools for green infrastructure. In this study, remote sensing technology was used to assess the green infrastructure of the Taipei metropolitan area (Taiwan) in a systematic way. To this end, we used the comprehensive index method of vigor, organization, and resilience (VOR) to classify a landscape index and to construct a healthy assessment index. We determined the primary index and weights using the entropy weighting method to establish the assessment model. We show that the core of the metropolitan area lacks green infrastructure with the lowest VOR index, thus indicating that this district requires governmentsupervised intervention and improvement. We prove that the increase in green infrastructure has a promoting effect on the impact of various health assessment evaluations, and it will gradually slow down and get stabilized after reaching a certain degree. The entropy weighting method can make the data model more stable and reliable, making the results more representative.