The burning debris came from Elon Musk's Falcon 9 space rocket that was launched on February 1 in California.
The Polish Space Agency (POLSA) said a stage of the Falcon 9 R/B rocket made "an uncontrolled re-entry into the atmosphere" at about 0346 GMT.
A local rancher reported finding debris in the area and had an intelligence officer, Jesse Marcel, come to the site and take more debris.
The Polish police, fire brigade, chemical team and representatives of the Polish Space Agency have been inspecting locations where debris has fallen.
The mystery became rampant after the US military made a major u-turn 24 hours later and said the UFO rumors had been a mistake and explained the debris was from a crashed weather balloon.