The invention discloses a small punch creep testing device and method with capability to precise and continuous loading. The testing device comprises an upper clamp, a lower clamp, a clamping sleeve,a positioning pin, a specimen, a punch head, a punch, a measuring rod, a load sensor, a hydraulic jack, a linear variable differential transformer, a heating furnace and a bracket. The testing methodcomprises the following steps of installing the specimen, debugging and centering, applying the temperature, applying the load, collecting the data and the like. The testing device and the testing method have the advantages that the bottom end loading type is adopted, the static load is replaced with the hydraulic jack, the load can be continuously and stably applied, and the loading accuracy is improved; by arranging the step-shaped punch and the measuring rod, the tilting or seizure of the rod can be effectively avoided; by replacing the group bolt tightening with the thread connection to, the influence by assembly stress is greatly eliminated; by arranging a positioning pin, the centering property is better.