Acacia is a distinctive girls' name in England & Wales, ranking #1480 in 1998 with 12 recorded births. The name reached its all-time peak in 2011 with 36 births ranking #973. Since 1996, the popularity has increased by 33.3%. In 1998, approximately 1 in every 24,098 girls born was named Acacia. FALLING Recent data shows the name is currently falling.