We extended the deformed Skyrme Hartree-fock (DSHF) method to lambda hypernuclei by including a microscopically determined lambda-nucleon interaction based on Brueckner-Hartree-Fock calculations of asymmetric hypernuclear matter[1]. The extension is a generalization of closed-shell spherical hypernuclei in Ref.[2,3] to more complicated open-shell hypernuclei with realistic effective interactions. We studied the properties of lambda hypernuclei in a broad mass region with the extended DSHF. The results suggest that the core nuclei and the corresponding hypernuclei have similar deformations with the same sign. Some light single-lambda hypernuclei are substantially deformed and the lambda binding energies is modified by the deformation. With the same method, we investigated the effect of additional lambda hyperon on the drip line of neutron-rich nuclei and the structure of halo nuclei[4,5]. Some interesting results are obtained. [1] J. Cugnon, A. Lejeune, and H.-J. Schulze, Phys. Rev. C 62, 064308 (2000). [2] I. Vidana, A. Polls, A. Ramos, and H.-J. Schulze, Phys. Rev. C 64, 044301 (2001). [3] Xian-Rong Zhou, H.-J. Schulze, H. Sagawa, Chen-Xu wu, and En-Guang Zhao, Phys. Rev. C 76, 034312 (2007). [4] Xian-Rong Zhou, A. Polls, H.-J. Schulze, and I. Vidana, Phys. Rev. C 78, 054306 (2008). [5] Xian-Rong Zhou, Ning Wei, in preparation.