BART spokesman Rick Rice said the agency had up its original offer of a 4 percent pay rise over the next four years to 8 percent. The proposed salary increase is on top of a 1 percent raise employees were scheduled to receive Monday, Rice added.
The transit agency also said it offered to reduce the contribution employees would have to make to their pensions, and lower the costs of health care premiums they would have to pay.
Bryant said Sunday that BART's latest proposal is not an actual pay increase, calling it "surface bargaining."
BART's last strike lasted six days in 1997. The transit agency handles more than 40 percent of commuters coming from the East Bay to San Francisco with the Bay Bridge handling another 50 percent said John Goodwin, a spokesman for the Metropolitan Transportation Commission.
Other transit agencies in the region urged commuters to consider carpooling, taking buses or ferries, working from home and, if they must drive to work, to leave earlier or even later than usual.
San Francisco Mayor Ed Lee said the city will offer increased transportation options, including at the airport, and increase staff for traffic management. BART said it will let commuters use parking lots at their 33 stations free of charge for the purpose of carpooling.