Acacia is a distinctive girls' name in England & Wales, ranking #1365 in 1997 with 13 recorded births. The name reached its all-time peak in 2011 with 36 births ranking #973. Since 1996, the popularity has increased by 44.4%. In 1997, approximately 1 in every 22,552 girls born was named Acacia. FALLING Recent data shows the name is currently falling.