A state prosecutor argued that Pistorius - who did not take the stand himself - had shown no remorse or told the court why he fired the shots, and asked the court jail the athlete for the prescribed minimum sentence of 15-years.
The athlete originally received a five-year sentence for a manslaughter conviction, that was upgraded to murder on appeal. The original trial judge, Thokozile Masipa, was presiding at the hearings at the Pretoria High Court.
The case has prompted a fierce debate in a country beset by high levels of violent crime against women and still dealing with the legacy of decades of apartheid race-based rule.
The victim's father Barry Steenkamp said on Tuesday that Pistorius must pay for his crime.