The five others are Christopher Marut, William Stanton, Stephen Young, Douglas Paal and Raymond Burghardt.
"We, on behalf of the American people, extend our sincere congratulations to the democratic achievement of Taiwan's people. The friendship between the United States and Taiwan has grown and prospered over the past decades, and it will be even more close and solid," said Moy in Mandarin in the video.
The six American diplomats then gave the thumbs up and said together: "Taiwan-U.S. relations -- Yes!"
Moy assumed his post in June 2015 after Christopher Marut's three-year term ended.
The video was released just days after President Tsai Ing-wen and her government took office after her Democratic Progressive Party had been in opposition for eight years. (By Tai Ya-chen and Lilian Wu)