Wardenclyffe laboratory was Nikola Tesla's private laboratory in Wardenclyffe.
In 1900s Nikola Tesla started transfering all of his work to his laboratory in Wardenclyffe. He intercepted the Mars signal with his Teslascope there and later signaled back. He also was planning the Wardenclyffe Power Plant Prototype as a part of his World Wireless System project.
Months later Tesla was kidnapped by the Skithra. To save him Dorothy Skerrit proposed the Thirteenth Doctor to move to Wardenclyffe laboratory. The Doctor used the Mars signal readout to take Tesla and Yaz back to Earth. Nikola Tesla was angry to see Thomas Edison in his private laboratory. While getting ready to defend Wardenclyffe from the Skithra Ryan and Graham found a "mechanism for photographing thoughts", an "apparatus for producing ozone" and a "prototype Death Ray" in Tesla's laboratory.(TV: Nikola Tesla's Night of Terror)