The Daystrom Institute, also known as the Daystrom Research Institute, was a 24th century organization that contributed to the United Federation of Planets. It was named after Doctor Richard Daystrom, who invented the duotronic computer and attempted the first multitronic computer. (TOS: "The Ultimate Computer")

The Institute had its own Archaeological Council. (DS9: "Q-Less")

In 2364, the Institute was developing a tomographic imaging scanner, capable of multiphasic resolution. By 2370, this device was standard equipment aboard the USS Enterprise-D. (TNG: "All Good Things...")

The Institute had several colleges that included the Daystrom Institute of Technology, where Dr. Leah Brahms was a graduate. She eventually worked on the Enterprise's warp engines as a member of the Theoretical Propulsion Group. (TNG: "Booby Trap") Commander Bruce Maddox held the Associate Chair of Robotics at the Daystrom Technological Institute in the mid 24th century. (TNG: "The Measure Of A Man")

There is a Daystrom Annex on Galor IV. In 2366, Vice Admiral Anthony Haftel was assigned there. (TNG: "The Offspring")

Vash was offered a post at the Institute by Professor Woo after she returned from her journeys with Q in 2369. (DS9: "Q-Less")

Seconds before he killed himself by piloting his shuttlecraft into Epsilon 119, Gideon Seyetik asked Benjamin Sisko to send his obituary to the Daystrom Institute for publication. (DS9: "Second Sight")

In 2378, when The Doctor's holomatrix was in danger of decompiling, he requested that Captain Janeway donate his mobile emitter to the institute for study. (VOY: "Renaissance Man")

In an alternate future, Leah Brahms had become the director of the Institute. (TNG: "All Good Things...")