The TA2 (ASTM F67 Grade 2)Titanium alloy sheet was laser shock deformed by the Nd: YAG laser with the 1054nm output wave length and the 20ns short pulse, with 7 mm laser facular in diameter and tap water as the confinement regime. The experimental results indicated that under the available constraint condition, the obverse and the deformation was sensitive to the strain types. Strain-induced marten site in the compressive-stressed region, and the strain-induced twins in the tensile-stressed region were observed respectively. The super-high energy and super high strain ratio upon laser shock deforming can make the c.p.h. titanium alloy induce a great deal of twin bands, which coordinate the orientations in grains, thus induce auxiliary slip systems operate and make the plastic deformation proceed.