Shuri-ryū (首里流) karate is an eclectic martial arts system developed by Robert Trias (1923–1989), reportedly the first American to teach a form of karate in the mainland United States, and also opened his public first dojo in 1946 in Phoenix, Arizona.

[3] Trias was first introduced to karate while in the Navy during World War II when he was stationed in the Solomon Islands.

Hsing practiced the Chinese system of xingyiquan and had reportedly cross-trained with Motobu Chōki in the Okinawan village of Kume Mura several years previously.

In addition to these teachers, Trias learned from other martial arts teachers, such as Yajui Yamada (judo), Gogen Yamaguchi (Gōjū-ryū), Roy Oshiro (Gōjū-ryū), Yasuhiro Konishi, Makoto Gima (Shotokan, Shitō-ryū), and others.

[This paragraph needs citation(s)] In addition to the punches, blocks, and kicks of karate, Shuri-ryū also incorporates joint locks, takedowns and throws, and kobudō (traditional weapons).

At each rank, the students, depending on rank (blue = 1 mile, purple and beyond = 2 miles) must pass the running activity, lift 10 or 15 lb weights 75 times over the head (depending on gender), perform 500–1000 front kicks, and perform various hand technique exercises.

Upon Trias's death in 1989, his daughter, Roberta Trias-Kelley, inherited the Shuri-ryū system as a Style Head.