The rise in water level has prompted authorities to issue an alert for villages along the river's banks in Narmada, Bharuch and Vadodara districts.
Heavy showers lashed several areas of Saurashtra and south Gujarat on Wednesday, officials said, adding that the state has so far received 116.59 per cent of the season's average annual rainfall.
The rescue and release of crocodiles is being done by the district forest department in coordination with Wildlife SOS and Gujarat Society for Prevention of Cruelty to Animals (GSPCA).
Water from the overflowing Vishwamitri river entered several localities in the city, bringing with it many crocodiles.
With every tehsil in the state receiving good showers and water stock in dams at 60 per cent, there is no longer drought anywhere, chief minister Vijay Rupani said.
Two IAF helicopters rescued 31 village residents in the first round, while another chopper rescued 14 stranded more villagers in the next round.
Heavy rains in Gujarat in the past few weeks have created havoc in the state due to flooding in several parts of the state.
Around 25,000 people have been rescued since the floods hit putting all security forces into immediate action.
The mother, with her new born twins and an attendant, were instantaneously put into the aircraft and flown out to safety with due care.