The term kickboxing itself was introduced in the 1960s as a Japanese anglicism by Japanese boxing promoter Osamu Noguchi for a hybrid martial art combining Muay Thai and karate which he had introduced in 1958.
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The term was later also adopted by the American variant. Since there has been a lot of cross-fertilization between these styles, with many practitioners training or competing under the rules of more than one style, the history of the individual styles cannot be seen in isolation from one another.
The name taekwondo was coined by Choi Hong Hi (of the Oh Do Kwan). The World Taekwondo Federation claims that taekwondo development was a collaborative effort by a council consisting of members from the nine original kwans, while the International Taekwon-Do Federation credits Choi Hong Hi solely.