This page contains information regarding Star Trek: Picard, and thus may contain spoilers.
The Hall of Honor was an award given by the Federation Planets to outstanding individuals.
In 2340, Captain Jean-Luc Picard was presented with this award for his work ethic, which was seen as making the Federation greater, and was given a plaque in commemoration of the event. This plaque was stored in Picard's section of the quantum archive at the Starfleet Archive Museum. (PIC: "Remembrance")