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We develop a dynamic search equilibrium model of rental markets with brokerage fees. An endogenous mass of landlords and tenants is active in the search market. While the mass of entering tenants is exogenous, the mass of entering landlords is endogenously determined by the rate at which apartments become vacant. Brokerage fees paid by tenants are used as a device to screen short term and long term tenants. We analyze a policy that requires fees to be paid by landlords. Such a policy decreases efficiency by preventing efficient screening, but also increases turnover and hence efficiency in the search market. We further provide empirically testable implications of our theory.