Which party controlled the national and all the state governments during the period of 1952-1962?

Indian National Congress

The Indian National Congress had the consistent ability to secure three-fourths of the seats in the Lok Sabha in the first 3 General Elections (1952-57-62). The presence of charismatic leaders, especially Jawaharlal Nehru and other freedom fighters helped it in its electoral success.

It was widely expected to win the first few General elections due to the following reasons:

Its inclusive nature.
Its coalition-like nature.
Its solid organisational structure.
Its strong association with the national movement.
It had the ‘first off the blocks’ advantage.
Presence of charismatic leaders like Jawaharlal Nehru and other freedom fighters.
A well-organized machinery, spread all over India, etc.