Discovery Channel has a great piece on this engineering marvel which is still in conceptual phase.
The Bering Strait bridge or Bering Strait tunnel, if ever constructed, would be a bridge or tunnel spanning the Bering Strait between Cape Dezhnev, Chukotka, Russia, and Cape Prince of Wales, Alaska, United States.
Another name suggested is Eurasia-America Transport Link. Whatever the name, the construction of such a bridge or tunnel would face unprecedented engineering, political, and financial challenges, and to date, no government has authorized the start of any planning or construction.
Nor it would any time soon given how busy US is in political/military activities around the world with economy and business taking a heavy toll right now.
What ever the state of union, just the idea of such a tunnel is akin to dreaming about landing on the moon.