There are two ways to handle the situation where we do not want the index to be stored in csv file.
As others have stated you can use index=False while saving your
dataframe to csv file.
df.to_csv('file_name.csv',index=False)
df.to_csv(' file_name.csv ')
df_new = pd.read_csv('file_name.csv').drop(['unnamed 0'],axis=1)