The fire is yet to be doused and 20 fire tenders have been rushed to the spot.
"Four persons who were trapped inside have been rescued using a ladder and they have sent to hospital for treatment for smoke-related complaints," West Bengal Fire Services Minister Javed Khan told news persons here.
"No one else is trapped inside the building," he told reporters while supervising fire tending operations at the building situated at the crossing of Park Street and Jawaharlal Nehru Road here.
The fire broke out between the 12th and 15th floors of the building and around 20 fire tenders and two hydraulic ladders have been pressed into service to bring the blaze under control, fire services control room said.
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He said fire services and disaster management group personnel reacted very quickly and was thus able to contain the spread of the blaze.
Khan said that it was only after the fire is doused that the cause of the blaze in the building, which houses many offices and business establishments, can be ascertained.
With the fire breaking out just before the office hours and several major thoroughfares closed due to fire tending operations, huge traffic snarls were caused inconveniencing office-goers.