The 30-year-old left-hander and the Royals finalized a $12 million, two-year contract Wednesday.
"He's a victor", general manager Dayton Moore said.
Wood is the third Cub to make the switch to Royal blue.
It came down today that the Royals have signed Travis Wood.
Russia's Mariya Savinova Banned, Stripped Off London Olympics Gold For Doping
She will also claim the world title from the 2011 championships having finished behind Savinova-Farnosova in that race as well. The six-meet IAAF Golden League was discontinued the following season to pave way for the current IAAF Diamond League circuit.
His strikeout numbers did take a bit of a dip, but with the Cubs not in need of another starting pitcher, Wood opted to test the free agent market and see if he could find a team that would give him that opportunity.
Wood was primarily a starter for the Reds, but he made just nine starts in 131 appearances for the Cubs over the past two seasons.
Wood gets $4 million this year and $6.5 million in 2018, and the agreement includes and $8.5 mutual option for 2019 with a $1.5 million buyout. As a reliever, he's fared better with an 8-2 record and 2.83 ERA. In a corresponding roster move, pitcher Brian Flynn has been placed on the 60-day disabled list with a stable lumbar vertebral fracture.
Wood was a do-it-all pitcher for the World Series champion Chicago Cubs in 2016: Not only did he hit a postseason home run, he played left field a couple of times during the regular season. Wood has a career 4.00 ERA in 259 appearances, 133 of which have been starts.