Jet Airways, SpiceJet and Vistara also operated all women crew flights, though on their domestic network.
National carrier Air India expressed its respect towards women by operating over 20 all-women operating flights including seven on domestic routes as part of the International Women's Day celebrations, AI said in a release.
These flights were operated on Delhi-Sydney, the Delhi-London and the Delhi-San Francisco sectors, it said.
Earlier, Air India had claimed of flying the world's longest all-women operated and supported flight from Delhi to San Francisco on March 6.
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In addition, the carrier's international budget arm, Air India Express also operated Air India Express operated four international flights manned by all-women crew.
These services were flown Kochi- Dubai - Kochi, Singapore - Tiruchirappalli - Chennai , Chennai- Tiruchirappalli - Singapore and Mangalore - Dammam - Mangalore, routes, Air India Express said in a separate statement.
To celebrate International Women's Day in its true spirit, SpiceJet in association with some NGOs took 20 selectively chosen women on a day-trip aboard SpiceJet's All Women Crew flight to Art of Living's Bangalore centre, SpiceJet said.
"Today in SpiceJet's flight with our all women cockpit and inflight crew and engineers on one side, while Women of Substance from rural and slums on the other; we commemorate women's day in its true universal spirit," SpiceJet Chief Administrative Officer G P Gupta said.
Another private carrier Jet Airways said it operated two flights on Mumbai-Delhi-Mumbai sector to commemorate the International Women's Day.
In addition, every aspect of these flights was managed by an all-women crew from a cross section of the business, including engineering, ground handling, cargo, ramp and airport services, it said adding.