Washington State (1-1), which lost at BYU in the season opener, also unveiled a $65 million upgrade of Martin Stadium in front of the first sellout crowd here since 2007.
Eastern Washington (1-1), an FCS power coming off a victory over Idaho of the FBS, kept it close behind a pair of touchdown receptions by Brandon Kaufman.
This was the first meeting since 1908 between the two programs, located 60 miles apart.
Washington State scored first when Tuel connected with Myers in the back of the end zone on a 2-yard scoring pass with 5:42 left in the first quarter. It was their first touchdown of the season after being held to two field goals by BYU.
Eastern replied on the next series when quarterback Kyle Padron hit Kaufman with a 93-yard touchdown pass to tie the score. But Washington State drove 75 yards on its next series, with Carl Winston rushing over from the 1 to take a 14-7 lead. Winston's 27-yard run was the key play of the drive.
Washington State's Cyrus Coen intercepted a scrambling Padron and ran the ball down to Eastern's 17. On the first play, Tuel passed 17 yards to Myers for a touchdown that put WSU up 21-14.
A 60-yard field goal by WSU's Andrew Furney as time expired gave the Cougars a 24-14 halftime lead. It was the second longest field goal in team history after Jason Hanson's 62-yarder against UNLV in 1991.
The third quarter was scoreless.
Washington State had first-and-goal on the EWU 2 in the fourth quarter, but Teondray Caldwell fumbled on a run and EWU's Allen Brown recovered. The Eagles went on a penalty-filled 99-yard drive that ended with a 17-yard touchdown pass from Padron to Kaufman. The extra point was blocked to leave WSU with a 24-20 lead with 2:17 remaining.
Washington State recovered the onside kick, had two touchdown plays called back because of penalties, and had to punt. Eastern got a last chance with 1:29 left from its 17, but could not score.
Washington State has never lost in 17 games against teams from the FCS. Eastern Washington is 8-21 against FBS teams.
Florida State coach Jimbo Fisher hopes quarterback Sean Maguire is ready to go full speed by the middle of June.
Graduate transfer quarterback Davis Webb has officially joined California, giving the Golden Bears an experienced option to replace No. 1 overall NFL draft pick Jared Goff.
First-year football coach Dino Babers, hired by former Syracuse AD Mark Coyle, is on the committee that will search for Coyle's replacement.
Hugh Freeze has some major holes to fill on offense with the departures of Laremy Tunsil and Laquon Treadwell, but there is Chady Kelly and good depth.
After transferring in from Montana State, Dakota Prukop has a checklist he's working from as he prepares to compete for the Oregon job.
The destination for Week 6 of the Big 12 Ultimate Road Trip is unanimous, as all three conference reporters would head to the Red River Rivalry.