The school was founded by Father Michael Kenelley, S.J., on June 21, 1960, in what was then the undeveloped, west side of Houston. The school's patron saint is Stanislaus Kostka, a Polish Jesuit who serves as a patron of students; additionally, as a Jesuit institution, Ignatius of Loyola is invoked as an unofficial patron saint. In 1971 the school asked to declare Chapter 10 bankruptcy as it lost money in the Sharpstown scandal. The school surrendered seven acres of its original property to resolve its financial distress and emerge from bankruptcy protection. The seven-acre tract was repurchased by the school in 2012 for $3.3 million. During a three-year period until 1993, the number of applications submitted to Strake Jesuit doubled. Fr. Brian Zinnamon, the school President, said during the year that there were two times the number of applicants compared to available spots. At the time, tuition was $4,700 per year, described by Stephanie Asin of the Houston Chronicle as being steep. Father Zinnamon said, "Certainly what is going on in the public schools is a factor. Parents are choosing a safe environment where they know their children are getting Christian values." In 2005, prior to Hurricane Katrina, the school had 899 students. An additional 410 enrolled at Strake due to the hurricane.
Athletics
The "Fighting Crusaders" were one of many Catholic high schools that originally competed in the now defunct T.C.I.L.. The league began in 1935 under the direction of Albert Mitchell. Strake Jesuit's last year of competition in the T.C.I.L. concluded when the league came to a close in the 1999–2000 athletic season with the baseball team capturing the final T.C.I.L. State Championship in any sport. After T.C.I.L. merged with TAPPS, both Strake Jesuit and Dallas Jesuit were not permitted to join as TAPPS believed those two schools were too powerful. From the fall of 2000 to the spring of 2003, the Crusaders competed as an independent in all sports. They were admitted into the University Interscholastic League, the public school athletic league, partly due to the efforts of Joe Nixon, a member of the Texas House of Representatives. Texas Senate Bill 1943 opened the UIL to Strake and Dallas Jesuit, which established rules to put those two schools on equal footing with public schools. After its admission into the U.I.L., Strake Jesuit began competing in its listed district of 19-5A in the fall of 2003. The Crusaders have won several district and regional championships along with a state championship, state runners-up, and state semi-finalists within the past eight years in the U.I.L. The "Fighting Crusaders" athletic department provides 13 different programs which include: baseball, basketball, cross-country, football, golf, lacrosse, rugby, soccer, swimming & diving, tennis, track & field, water polo, and wrestling. The Houston Press ranked the U.I.L. realignment as the "Best Way to Break In to the Big Time" in 2003.
Rivalry
Despite moving to the U.I.L., Strake Jesuit had a long-lasting storied rivalry with Saint Thomas High School. Since its beginning in 1964, Strake Jesuit had a record of 24–29–1 against STH. However, as of 2020, both schools have announced the end of the annual competition and Strake Jesuit will now compete with Dallas Jesuit instead.
Cross country / track
The Cross Country Team won 22 straight T.C.I.L. State titles starting in 1972.
