When did they stop slavery?
Assuming you meant slavery in the USA, then yes the 13th amendment was the definintive point that outlawed slavery in the United States. However, the Emancipation Proclamation (issued in January, 1863) declared that all states brought back into the Union by military force would have their slaves freed. Though this act did not immediately free any slaves (slave states still loyal to the Union were specifically exempt) it set up a legal framework for what to do with slaves in occupied territories. As Union forces occupied sections of the South, they were sure to free slaves. By the time the 13th amendment passed, the vast majority of slaves were already free and the institution in all liklihood doomed with out the final amendment.