The planet, designated Kepler-413b and located in the constellation Cygnus, precesses or wobbles wildly on its spin axis.
The tilt of the planet's spin axis can vary by as much as 30 degrees over 11 years, leading to rapid and erratic changes in seasons.
In contrast, Earth's rotational precession is 23.5 degrees over 26,000 years. Researchers are amazed that this far-off planet is precessing on a human timescale.
Kepler 413-b circles a close pair of orange and red dwarf stars every 66 days.
The planet's orbit around the binary stars appears to wobble, too, because the plane of its orbit is tilted 2.5 degrees with respect to the plane of the star pair's orbit.
As seen from Earth, the wobbling orbit moves up and down continuously, researchers said.
Astronomers discovered the wobbling when they found an unusual pattern of transiting for Kepler-413b.
"Looking at the Kepler data over the course of 1,500 days, we saw three transits in the first 180 days one transit every 66 days - then we had 800 days with no transits at all. After that, we saw five more transits in a row," said Veselin Kostov, the principal investigator on the observation.
The next transit visible from Earth's point of view is not predicted to occur until 2020.
This is because the orbit moves up and down, a result of the wobbling, in such a great degree that it sometimes does not transit the stars as viewed from Earth.
Astronomers are still trying to explain why this planet is out of alignment with its stars. There could be other planetary bodies in the system that tilted the orbit.
Or, it could be that a third star nearby that is a visual companion may actually be gravitationally bound to the system and exerting an influence, researchers said.
"Presumably there are planets out there like this one that we're not seeing because we're in the unfavourable period," said Peter McCullough, a team member with the Space Telescope Science Institute and Johns Hopkins University.
Even with its changing seasons, Kepler-413b is too warm for life as we know it. Because it orbits so close to the stars, its temperatures are too high for liquid water to
exist, making it inhabitable.
It also is a super Neptune - a giant gas planet with a mass about 65 times that of Earth - so there is no surface on which to stand.