Strontium cadmium germanium selenide (SrCdGeSe4) crystal is a new infrared nonlinear optical material with excellent performance which was discovered recently. In this study, polycrystalline SrCdGeSe4 was synthesized successfully by using a self-made two-zone tube furnace with the amount of 300 g in one run. SrCdGeSe4 single crystal with size of 27 mm×80 mm was grown by vertical Bridgman-Stockbarger method for the first time. Several oriented SrCdGeSe4 plates with different sizes were obtained after orienting, cutting, and polishing processes. Measurements of rocking curve, infrared transmission spectrum, and laser damage threshold were carried out on a polished (110) plate with 8×8×2 mm3 in size. The results show that the FWHM of the (220) peak rocking curve is 44.8″; the crystal has a short-wave cutoff of 596 nm, and has highly transparent within the wide range of 1-14 μm with the transmittance over 68%, and possesses a surface laser damage threshold of 530 MW/cm2 using a Nd∶YAG laser under conditions of 5 ns pulse width, 1 Hz frequency, and D=0.15 mm spot size.