Call for travel support.
Councillor Mark Hannon, the cabinet member for economic development, told a meeting of the authority that the last bus from Whitby to East Cleveland was at 7pm.
"They are talking about proving pounds 16bn for a high-speed rail link from London to Birmingham," he said. "We would like just a slow bus link.
"We need our transport system sorting out."
Councillor Helen McLuckie, Cabinet member for highways, transport and planning, said: "This is an issue in East Cleveland, especially for young people living on the Whitby side of the area. We are looking at it and anyone with particular problems can contact us at the council if they are struggling to get to or from Whitby."
Councillor Barry Hunt said that in the summer in Whitby there was a lot of seasonal work available for the young.
"Young people are missing out on part of the learning of life because of the lack of public transport," he added.