Acacia is a distinctive girls' name in England & Wales, ranking #1870 in 2001 with 9 recorded births. This places Acacia in the top 36% of ranked UK girls' names for the year. Its actual usage is classified as Rare. The name reached its all-time peak in 2011 with 36 births ranking #973. In 2001, approximately 1 in every 29,776 girls born was named Acacia. FALLING Recent data shows the name is currently falling.