However, the union's dispute with the train operating companies "remains firmly on".
Sky's Jayne Secker hit back at the RMT boss after he accused her of being a "government mouthpiece".
Royal Mail staff also vote to continue industrial action amid bitter disputes over pay, jobs and conditions.
General secretary Mick Lynch said the union's "industrial campaign will continue for as long as it takes".
The deputy Labour leader also said Mick Lynch has been doing a "good job".
The RMT boss said: "If we fight together we are an unstoppable force in this society!"
Expect travel disruption on Thursday, Friday and Saturday.
"We’re going to have one of the most extreme leaders, if she succeeds, that we’ve ever had in the prime minister’s office."
"The super rich are doing very well, thank you very much," RMT's general secretary added.