Acacia is a distinctive girls' name in England & Wales, ranking #1093 in 2008 with 27 recorded births. The name reached its all-time peak in 2011 with 36 births ranking #973. Since 1996, the popularity has increased by 200.0%. In 2008, approximately 1 in every 11,695 girls born was named Acacia. FALLING Recent data shows the name is currently falling.