In recent years, single layer latticed domes have attracted many designers and researchers's attention all over the world, because single layer latticed domes as space structure are of great advantage in not only mechanical rationality but also function, fabrication, construction and economic aspect. One of the most important factor, in building of single-layer single-layer lattice spherical dome with 300m span, is to ensure the structural safety. Network pattern of single layer latticed domes can be infinitely taken into account. The typical network patterns are triangle, square, hexagon etc. Especially triangular network pattern has mechanically more advantage than the other network patterns because of having not only a large equivalent shearing rigidity but also a large equivalent bending rigidity and axial rigidity. Among the triangular network pattern, that is, 3 way grid pattern, there are many mechanical differences according to the arranging methods of members. In order to ensure the structural stability of single-layer latticed dome with 3 way grid, designers are required to maintain a constant member length and the member angle. In order to achieve this, it is important to search the member array that the standard deviation of the member lengths and angles is the smallest. This paper is to develop the arrangement of member and to verify its validity for single-layer latticed spherical dome with 300m span.