He found it "extremely strange" that two people could fall from a balcony.
"I have never in my life heard a story where two people dropped from a building.
"I just don't know what to think of all this. She was such a sweet person. She was intelligent and had a big heart.
"She would do anything for anybody. She was a darling," he said.
He was now desperate to find out what happened.
"I'm walking around in a daze, being so far away. It's hopeless," Mr Klasema said.
He last saw Miss Klasema in person about three years ago.
Although he had lived apart from her and her elder brother, Steve, for many years he said he regularly spoke to his daughter by phone or Skype.
Mr Klasema said his daughter loved international travel and because she held Dutch and Kiwi citizenship papers, the world was her oyster.
Miss Klasema grew up in Havelock North, and moved to Melbourne in her 20s. She was working for an IT company when she died.
Residents of the modern apartment building said they heard a party in the complex the night before Miss Klasema died.
Her body and that of the injured man, whose condition was initially critical, were discovered about 11.30am on Saturday soon after they were believed to have fallen from a height of about 10m, landing on the tar seal near rubbish skips.
Victoria police spent much of Saturday examining the scene and speaking to residents, but by Sunday morning said they were not treating Miss Klasema's death as suspicious and were preparing a report for the coroner.
Leading Senior-Constable Adam West said police had spoken to the injured man in hospital.
The investigation was ongoing, and he urged anyone who may have witnessed the incident or have any information about it to contact Crime Stoppers on 1800 333 000.