Acacia is a distinctive girls' name in England & Wales, ranking #1639 in 2013 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 2013, approximately 1 in every 17,136 girls born was named Acacia. FALLING Recent data shows the name is currently falling.