An apparatus for measuring the strength of concrete using a surface wave velocity including an ultrasonic transmission and reception probe is provided. The apparatus is configured to include a surface wave velocity measurement device including an ultrasonic transmission probe and an ultrasonic reception probe. Further, a method of constructing the slip form of a concrete column member is provided. The method is capable of reducing the construction period by raising a concrete form rapidly and safely using a method of determining the slip-up time of the slip form based on the strength of concrete measured by the apparatus.