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In this paper, we use the joint measurement of geometry and growth rate frommatter density perturbations to constrain the holographic dark energy model.The geometry measurement includes type Ia supernovae (SN Ia) Union2.1, fullinformation of cosmic microwave background (CMB) from WMAP-7yr and baryonacoustic oscillation (BAO). For the growth rate of matter densityperturbations, the results $f(z)\sigma_8(z)$ measured from the redshift-spacedistortion (RSD) in the galaxy power spectrum are employed. Via the MarkovChain Monte Carlo method, we try to constrain the model parameters space. Thejointed constraint shows that $c=0.750_{- 0.0999- 0.173- 0.226}^{+ 0.0976+0.215+ 0.319}$ and $\sigma_8=0.763_{- 0.0465- 0.0826- 0.108}^{+ 0.0477+ 0.0910+0.120}$ with $1,2,3\sigma$ regions. After marginalizing the other irrelevantmodel parameters, we show the evolution of the equation of state of HDE withrespect to the redshift $z$. Though the current cosmic data points favor aphantom like HDE Universe for the mean values of the model parameters in thefuture, it can behave like quintessence in $3\sigma$ regions.

Constraints on the Holographic Dark Energy Model from Type Ia Supernovae, WMAP7, Baryon Acoustic Oscillation and Redshift-Space Distortion