Abstract
In this paper, we investigate the Stark effect of ultra-cold 39D cesium Rydberg atoms in low-field. The Stark structure of 39D Rydberg states is calculated numerically. The cold cesium atoms are excited to Rydberg states via two-step process and the Stark spectra are obtained by field-ionization method. The scalar and tenson polarizabilities of 39D cesium Rydberg atoms are measured to be α5/22=62(7) MHz·V-2cm2，α5/20=－146(13) MHz·V-2cm2, α3/22=73(6) MHz·V-2cm2，α3/20=－106(20) MHz·V-2cm2 respectively. The experimental values are in agreement with the theoretical results.
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