Acacia is a distinctive girls' name in England & Wales, ranking #1755 in 1996 with 9 recorded births. This places Acacia in the top 35% of ranked UK girls' names for the year. Its actual usage is classified as Rare. The name reached its all-time peak in 2011 with 36 births ranking #973. In 1996, approximately 1 in every 32,889 girls born was named Acacia. FALLING Recent data shows the name is currently falling.