Mick lynch
The deputy Labour leader also said Mick Lynch has been doing a "good job".
Strikes are set to go ahead next week although talks will be held with the Rail Delivery Group today.
Mark Harper says there is "common ground" with the RMT after meeting with Mick Lynch.
"I’m a trade union official, and I’m determined to get a deal.”
The RMT union said the "stunning" result showed their members backed their negotiating strategy.
Mick Lynch said the threat of industrial action had made employers "see sense".
"Workers are on the march and they’re looking for some results from this government," the RMT leader told a rally in Westminster.
Four unions are walking out together for the first time.
Lee Anderson said strikers "aren’t interested in working class people".
Mayor of Greater Manchester is expected to join RMT union chief Mick Lynch at a rally next week.