The Council, to be headed by Finance Minister Arun Jaitley and comprising of representative of all 29 states and two union territories, will have to be set up by November 11.
It will decide on the tax rate, exemptions and threshold limits in the new indirect tax regime, which is expected to kick in from April 1, 2017.
The government has notified September 12, as the date from which the procedure for setting up of the GST Council will be initiated and which will be completed within 60 days.
The Cabinet also decided on the constitution of the GST Secretariat and the officers who will implement the decisions of the Council.
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The GST Council will be chaired by Union Finance Minister and have a Minister of State for Finance and all state finance ministers as its members.
While the Centre will have one-third vote, states together will have a two-third say. To adopt a resolution, three-fourth majority would be required.
The approval came on the day when the Constitution Amendment Act on GST came into effect.
Parliament on August 8 had passed the bill, which then
went to the states for ratification. A Constitution Amendment Bill needs to be ratified by the legislative Assemblies of at least 50 per cent of the 29 states and 2 union territories.
The bill was sent to the President's secretariat after as many as 19 states -- BJP-ruled Assam being the first -- ratified the bill.
The other states, which passed the legislation include Bihar, Jharkhand, Chhattisgarh, Himachal Pradesh, Gujarat, Madhya Pradesh, Delhi, Nagaland, Maharashtra, Haryana, Sikkim, Mizoram, Telangana, Goa, Odisha and Rajasthan.
"Instead of 30 days kept for this (states' ratification), it is achieved in 23 days," he had tweeted.
The states and the Centre are working overtime and talking to stakeholders to draft the Central GST, State GST and Integrated GST laws, which are to be passed in Winter Session of Parliament.
The CGST and IGST will be drafted on the basis of the model GST law. The states will draft their respective State GST (SGST) laws with minor variation incorporating state-based exemptions. The IGST law would deal with inter-state movement of goods and services.