Pistorius family spokesperson Johan van Wyk said the family could not comment as they had not seen the movie yet.
The film charts the run-up to the murder on Valentine's Day 2013 at his home in Pretoria, South Africa and the courtroom dramas which followed the killing.
"I don't know why they doing this Oscar Pistorius movie if Reeva's family is not ok with it, such disrespect!"
Lifetime says "Oscar Pistorius: Blade Runner Killer", which is to premiere on November 11, is told from "the point of view" of Steenkamp and her mother and tells "what allegedly happened" in 2013 when Pistorius shot her. "Oscar was subjected to in-depth assessment and on-going tests nearly daily for a month long; at no stage was Oscar found to have the mind of a killer", read the statement.
The paralympic blade runner was the first disabled athlete to run in the Olympic's then his court hearing was aired all over the world and now, Oscar has got his own movie.
"Oscar was subjected to in depth assessments and on-going tests nearly daily for a month long; at no stage was Oscar found to have the mind of a killer‚" the statement reads.More news: Sri Lanka wins first Test as Pakistan crumbles
South Africa's National Prosecuting Authority wants to extend the sprinter's sentence from six to 15 years.
The statement suggests the movie-which has not yet been released-portrays the prosecution's argument rather than a complete version of what happened. The movie is scheduled to be released this November.
Actor Andreas Damm will play the role of the double amputee, while Toni Garrn will play the role of his murdered girlfriend Reeva Steenkamp.
Koen said the Steenkamps were still mourning the loss of their daughter and were horrified to read a report that the movie is told from June's perspective. "Looking at trademark and image rights, we will be taking the matter further with our legal team".
The Steenkamp family released a statement saying they did not endorse the movie either and were considering legal action themselves.