 Cruz akabatanidzwa mune zvose asi imwe yeAstros 11 postseason kuonekwa, vatatu semutambi 1980, 1981 uye 1986; matanhatu semudzidzisi 19971999, 2001, 20042005; uye maviri semubatsiri chaiye kumukuru mukuru 2015 uye 2017. Semutambi mumutambo wepostseason, akarova.400 mumitambo mishanu yakatarisana nePhiladelphia Phillies mu1980 NLCS. Cruz akamiririra Astros muMLB All-Star Game muna 1980 muLos Angeles uye 1985 muMinnesota. Akapedza wechitatu muNL MVP kuvhota muna 1980, wechitanhatu muna 1983, uye wechisere muna 1984. Akakunda NL Silver Slugger Award semutambi wekunze muna 1983 na1984. Muna 1983, Cruz akatungamirira NL mukubaya ne189. 