Jenna \j(en)-na\ as a girl's name is pronounced JEN-ah. It is of Arabic origin, and the meaning of Jenna is "heaven". Also fanciful alteration of Jenny with the -a ending; diminutive of Jennifer; variant of Jean (Hebrew) "God's grace". The name is made famous by a character on the TV series "Dallas". Jenna is also used for blends and compound names. See also Genna. First Daughter Jenna Bush; actress Jenna Elfman.