In order to answer to serious issues on scalar mesons; why the high‐mass scalar mesons which are considered to beL= 1qq¯nonet are so heavier than the masses predicted fromL= 1qq¯1++and 2++mesons, why the light scalar mesonsa0(980) andf0(980) have the puzzling mass character asI= 1a0(980) mass is nearly equal to thess¯likeI= 0f0(980) mass, we assume that the high mass of theL= 1qq¯scalar mesons is caused by the mixing with the light scalar mesons and the puzzling mass character arises from theqqq¯q¯structure for light scalar mesons. We consider thata0(980) andf0(980) constitute theSU(3) nonet together with the re‐established &sgr;(600) and the &kgr;(900). In this context, we analyze the inter‐mixing between the light scalar nonet and the high massL= 1qq¯nonet and the intra‐mixing among each nonet including the glueball mixing with the high mass scalar nonet. © 2002 American Institute of Physics