英吉利 (Yīngjílì) is the older Chinese transliteration of 'English' (from 'English-li'), which is why this strait is named after the English rather than 'British' (
英国).
海峡 (hǎixiá) means 'strait' or 'channel'. The French equivalent name (La Manche /
拉芒什海峡) is rarely used in Chinese.