Difference between Nationalised Bank and Public Sector Banks

Nationlised Bank: Nationalization was a process whereby govt of india took over the private banks into public ownership by an Act or ordinance. 19 banks have been nationalized so far. 

PublicSector Bank: (PSBs) in India are banks where a majority stake (i.e. more than 50%) is held by a government. Thus all nationalized banks are psb's and as well as SBI ,SBI ASSOCIATE BANKS, Bhartiya Mahila Bank and IDBI bank are PSB.

Bhartiya Mahila Bank was created under Prime Minister Dr Manmohan Singh on 19 November 2013 to pay tribute to Mrs Indira Gandhi on her birthday.

   

SBI is Not a Nationalized bank. It is a Public Sector Bank. SBI draws its power from State Bank of India Act, 1955. Nationalized banks are the banks which were nationalized in two phases – in 1969 and 1980 under the leadership of Mrs Indira Gandhi (both Nationalization was under the leadership of Mrs Indira Gandhi). In 1990 Laxmi National bank merged to Punjab national Bank which reduced the number of nationalized bank to 19. It means all nationalized bank are Public sector bank but not vice versa. SBI and its associates, are public sector but not nationalized. 

You can read about it from RBI website:

Click Here to read from RBI website (Read Point D and E).