Acacia is a distinctive girls' name in England & Wales, ranking #1107 in 1999 with 18 recorded births. The name reached its all-time peak in 2011 with 36 births ranking #973. Since 1996, the popularity has increased by 100.0%. In 1999, approximately 1 in every 15,650 girls born was named Acacia. FALLING Recent data shows the name is currently falling.