 Rambai muchinyora ndima iyi - Celtic yakatanga kutora chikamu mumakwikwi eEuropean mumwaka wa1962-63, yavo yechitatu-yekupedzisira mumutambo mwaka wapfuura wakavatungamira kuInter-Cities Fairs Cup. Vakaenderera mberi kusvika kumaviri eEuropean Cup Winners Cup semi-fainari muna 1964 na1966, vasati vaenderera mberi kuve kirabhu yekutanga yeBritain kuhwina mukombe weEuropean muna 1967, vachikunda Inter Milan 2 1 mufainari.. Celtic yakasvika muEuropean Cup Final zvakare muna 1970, asi yakarasikirwa naFeyenoord. Kuonekwa kwavo kwekupedzisira muEuropean fainari kwaive muna 2003 pavakakundwa ne32 kuFC Porto muEFAFA Cup Final. 