Linear cutting tests on granite were conducted to evaluated the cutting performance of abrasive water jet(AWJ) using several types of abrasives. The abrasives used in the tests were grarnet, alumimum oxide, and silicon carbide. And one type of granite which is comercially known as "KeuchangSuk" was used as workpiece throughout the tests. The results from the tests were described in terms of cutting depth and abrasive productivity. Authors tried to confirm the effects of the operational parameters of abrasive mass flow rate, water pressure, and traverse speed of nozzle on cutting depth and presented almost all the data obtained in the tests. Abrasive productivity can be defined as the area of kerf wall cut by unit weight of abrasive and is an important factor to evaluated the cutting ability of abrasive and assess the cost effectiveness of an AWJ system. In the tests the maximum abrasive productivities of garnet, alumina, and silicon carbide were about 0.21, 0.24, and 0.20 $ extrm{cm}^2$ respectively under similar operational conditions.onditions.