Speaking on BBC Radio 4's Today programme, Corbyn said he supported the strike over driver-only trains and would join the picket line.
Hundreds of thousands of London commuters were left with no train service on Tuesday as the latest strike in Britain's worst rail dispute in decades brought more travel misery the day after major disruption on the capital's underground system.
It came as Southern commuters were braced for further travel mayhem today with the network due to be shut by strike action for the fourth time in four weeks, forcing the cancellation of all 2,300 trains.
About 200 bus and coaches will ferry passengers from eight Southern stations to those run by other operators.
ASLEF union members are in a bitter dispute with Southern bosses over driver-only trains.
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As commuters faced the start of three days of strike action on the service, Frankie Cottrell's father, Clive, shared the "spontaneous email" on Twitter, which he said had also been sent to their local MP.
"I would hope there will now be agreement on this, because it's not a strike about wages, it's a strike about some jobs, though TfL say the number is minimal, it's about services to the public and I hope there will be a new offer made by TfL and I urge them to resume negotiations as soon as possible".
Another three strikes have been called on 24, 25 and 27 January, while a ban by ASLEF on rest day working and overtime is expected to cause some disruption every day until further notice.
"The company has not been prepared to move - it is simply going through the motions, turning up at Acas and telling us that it intends to impose driver-only operation."We remain committed to a negotiated settlement, as was reached with ScotRail, but it is hard to negotiate with people who are not prepared to be flexible".
"We still believe a deal can be done but we are, at the moment, a long way from that position".