Maharashtra state government spokesman Bhushan Gagri said 78 people killed and about 200 wounded, while police confirmed 26 deaths.
The attacks included five shootouts and two grenade attacks, said a police officer who answered Mumbai's police control room line.
IBN reported ongoing gun battles at the Oberoi Hotel and the Taj Mahal Hotel -- both five-star hotels.
At least two explosions were reported at the Taj.
One witness told local reporters gunmen had tried to find people with U.S. or British passports.
IBN, quoting police sources, reported hostages were taken at the two hotels although Gagri told CNN he did not know about any hostages.
Gunmen attack targets in Indian city - CNN.com