The Namesake is the debut novel which was written by the Indian American writer, Jhumpa Lahiri. In this novel, Lahiri depicts the lives of two generations of Indian immigrants in America and their own problems. It differs from other immigrant novels in the way that Lahiri does not arrange rise and fall of experiences for her characters. She just uses the simplest words to describe the heroes’ daily life. Under the multicultural background, Lahiri lays a lot of emphasis on the struggles and sufferings of the cultural identity of Indian American. This thesis aims at the analysis of the different identity confusions between the first generation immigrants and the second generation immigrants in terms of their names, love experiences and marriages. This paper attempts to conclude that the cultural differences have a great influence on the fate of characters. Meanwhile, it points out different attitudes and solutions toward the problems.