Acacia is a distinctive girls' name in England & Wales, ranking #1649 in 2012 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 2012, approximately 1 in every 17,892 girls born was named Acacia. FALLING Recent data shows the name is currently falling.