Abstract: Firstly，the definition of the mild solution to neutral stochastic partial functional differential equations with infinite delay in Hilbert spaces was introduced. Then，by means of the properties of analytic semigroups， Burkholder-Davis-Gundy inequality， and Banach fixed point theorem，the existence and uniqueness of the mild solution to neutral stochastic partial functional differential equations with infinite delay in Hilbert spaces were obtained. Finally，an example was given to illustrate the results.

Key words: infinite delay, neutral stochastic partial functional differential equations, mild solution, existence and uniqueness