The invention belongs to the technical field of concrete performance tests, and particularly discloses a test tamp and a test method for measuring the concrete tensile strength by adopting a radial splitting method. The test tamp comprises a compression plate, wherein an ogee section push type broach is arranged at the central position of the compression plate, the width of the push type broach surface of the ogee section push type broach is 5+-2mm, the central angle of the ogee section push type broach is 90+/-3 degrees, and the two sides of the ogee section push type broach are provided with a plurality of ribbed plates. The test method comprises the following steps: drawing up a circle parallel to the cross section of a core testing sample on the core testing sample with a pencil and calipers so as to determine the position of a cleavage plane, wherein the distance from the cleavage plane to each of the two end faces of the core testing sample is greater than or equal to 35mm; putting two test tamps at the central positions of an upper pressing plate and a lower pressing plate of a pressure tester respectively, and then putting the core sample between an upper push type broach and a lower push type broach of the two test damps; loading, and testing failure load. According to the test tamp and the test method disclosed by the invention, a relatively large amount of tensile strength data can be obtained from a small quantity of core samples, and the core samples do not need to be processed, a test is extremely convenient, and the core testing samples with long logarithmic centimeters also can be detected.