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The Subaru Prime Focus Spectrograph (PFS) is the multiplexed fiber-fed optical/near-IR spectrograph, which will have the first light in early 2024. The PFS collaboration is now planning to perform the cosmological galaxy survey, which will map the large scale structure of the universe in wide redshift range of 0.6 < z < 2.4 via the spectroscopic observation of [OII] emission-line galaxies. The PFS survey will give a significant impact on the fundamental physics, such as the nature of massive neutrinos, dark energy and modified gravity. In this talk I will overview the current status of PFS cosmology project, introduce the simulation suites developed for the PFS, discuss the possible systematics, and forecast the constraining power of PFS. I will also discuss remaining issues (e.g., covariance modeling, likelihood analysis, galaxy distribution) for the analysis of forthcoming real data.