Kepler-10c is an exoplanet orbiting the G-type star Kepler-10, located around 608 light-years away in Draco. Its discovery was announced by the Kepler space telescope team in May 2011, although it had been seen as a planetary candidate since January 2011, when Kepler-10b was discovered. The team confirmed the observation using data from NASA's Spitzer Space Telescope and a technique called BLENDER that ruled out most false positives. Kepler-10c was the third transiting planet to be confirmed statistically (based on probability rather than actual observation), after Kepler-9d and Kepler-11g. The Kepler team considers the statistical method that led to the discovery of Kepler-10c as what will be necessary to confirm many planets in Kepler's field of view.

Kepler-10c orbits its host star every forty-five days at a quarter of the average distance between the Sun and Earth. Initial observations showed that it has a radius more than double that of Earth, and suggested a higher density, suggesting a mainly rocky composition with around 5–20% ices by mass. For comparison, the Earth's oceans represent only 0.02% of our planet's mass, with an additional amount potentially a few times this stored in the mantle. However, in 2017, more careful analysis using both HARPS and HIRES data revealed that Kepler-10c is not a large terrestrial planet, but instead a typical volatile-rich planet of about seven Earth masses.

In January 2011, the closely orbiting planet Kepler-10b was confirmed in the orbit of the star Kepler-10 after measurements of its transiting behavior (where it crosses in front of Kepler-10, periodically dimming it) and a radial velocity effect detected in Kepler-10's spectrum provided the information needed to prove that it was indeed a planet. An additional, longer-period dimming was detected in Kepler-10's spectrum, suggesting that a second planet existed in the system; however, there remained the possibility that this signal could have some other cause, and that the transit event was a false positive. Attempts to measure the radial velocity effects of this object, then named KOI 072.02, were fruitless; therefore, to rule out false positive scenarios, the Kepler team used a technique called BLENDER.

The application of BLENDER was supplemented by use of the IRAC instrument on the Spitzer Space Telescope, which was used on August 30 and November 15, 2010, to further define Kepler-10's light curve at the point where KOI 072.02 appeared to transit it. It was found that the transiting object did not produce a color, an aspect that is characteristic of stars. This suggested even further that KOI 072.02 was a planet. In addition, the IRAC instrument found no difference in the transit signal when comparing the star's light curve in the infrared and in visible light; stars that are aligned with Kepler-10 might appear visibly similar, but would appear different in the infrared.

The WIYN Observatory's 3.5m telescope was used for speckle imaging on June 18, 2010; in addition, the PHARO camera on the Palomar Observatory's 5m telescope was used for its adaptive optics capabilities. These observations, combined with observations of Kepler-10's spectrum taken from the W.M. Keck Observatory, ruled out the possibility that a nearby star's light was corrupting the observed spectrum of Kepler-10 and creating the results that had led astronomers to believe that a second planet existed in Kepler-10's orbit. All of these possibilities, with the exception of if such a star existed exactly behind or in front of Kepler-10, were effectively ruled out; even with this, the Kepler team found that if a star was indeed aligned with Kepler-10 as seen from Earth, such a star would probably not be a giant star.

With a greater degree of certainty established, the Kepler team compared the models formed using BLENDER to the photometric observations collected by the Kepler satellite. The BLENDER technique allowed the Kepler team to rule out the majority of the alternatives including, notably, that of triple star systems. BLENDER then allowed the Kepler team to determine that although all models representing hierarchical triple stars (a binary system between a single star and a double star) can resemble the light curve of Kepler-10, the aforementioned follow-up observations would have detected them all. The only possible blends remaining after ruling out hierarchical triple stars was that of determining if the curve is caused by interference from a background star, or if it is indeed caused by the orbit of a transiting planet.

Comparisons of KOI 072.02 to the 1235 other Kepler Objects of Interest in Kepler's field of vision allowed astronomers to use models that led to the confirmation of KOI 072.02 as a planet with a high degree of certainty. KOI 072.02 was then renamed Kepler-10c. The planet's confirmation was announced at the Boston meeting of the American Astronomical Society on May 23, 2011.

Kepler-10c was the first Kepler target to be observed using Spitzer with the hope of detecting a shallow transit dip in a light curve. At the time of Kepler-10c's discovery, Spitzer was the only facility capable of detecting shallow transits in the Kepler data to an extent at which the data could be meaningfully analyzed. The planet was also the third transiting planet that was validated through an analysis of statistical data (rather than actual observation), after the planets Kepler-9d and Kepler-11g. In Kepler-10c's confirmation paper, the Kepler team discussed how a large fraction of planets in Kepler's field of view would be confirmed in this statistical manner.