A new norm which is equivalent to the Orliczalized Orlicz space. It is called A-norm. The criterion for thenorm and the Luxemburgnormis introduced inextremedons for the generalized Orlicz space equipped with the A-norm to beria for extreme points of generalized Orlicz space with the Luxemburgpoints in this space is givenrotund are obtained .In thisand thegener-condi-paper