Robinson joined NASA in 1989, and quickly became a manager at the Goddard Space Flight Center. He has been Deputy Center Director of the John H. Glenn Research Center, where he oversaw 114 missions, from 2005 to 2013 was the NASA Deputy Chief Engineer, and from 2018 to 2022, was the director of the Webb Space Telescope Program.[6][7] As the director of the Webb Telescope Program, he oversaw the program that included over 20,000 people, and he successfully saw the launch of the telescope which had been delayed many times before Robinson took over the project.[8] He has also taught in the George Washington University Department of Engineering Management & Systems Engineering.[9]
For his role in improving the performance of the Webb program, Robinson's supervisor, Thomas Zurbuchen, called him "the most effective leader of a mission I have ever seen in the history of NASA."[10] Zurbuchen credited Robinson with raising the program's schedule efficiency (how many measures were completed on time) from 50% to 95%.[10] In 2022, Robinson was named to the Time 100 list of influential people, as well as Time Innovator of the Year in 2022.[11][8] In July 2022, after Webb's commissioning process was complete and it began transmitting its first data, Robinson retired, following a 33-year career at NASA.[7]