The first cargo is from the United Kingdom, but the United States, Germany, France and Canada, among others, are also sending emergency aid.
Sweden, via the EU, will probably also offer healthcare equipment.
The situation is desperate in several places in India, with overcrowded hospitals and an acute shortage of oxygen.
Also on Tuesday, high infection rates were noted, 323,000 new cases of covid-19.
But it was not yet a new record but a slight decline compared to Monday's 353,000 cases.
In the giant country with over 1.3 billion inhabitants, almost 198,000 people have now died of the viral disease.
17.6 million cases have been registered, but the number is not large.
Several countries have introduced bans or restrictions on passenger flights from India.
Australia sold them on Tuesday through a ban on passenger flights that lasts until May 15