Abbi Is A Girls Name Stemming From Hebrew Origins. A Diminutive Of Abbigail, It Means "father Of Exaltation" Or "my Fathers Joy." When Baby Abbi Arrives In Your Life, They Will Undoubtedly Bring A Smile To Your Face With Their Adorable Presence. Abbi Is A Versatile And Charming Choice For Your Daughter, Ideal For Honoring A Family Member Or Reinventing A More Traditional Name.