Detectives said there was no immediate explanation for the tragedy in Wolverhampton on Wednesday night and confirmed officers were pursuing several lines of inquiry.
Speaking at a press conference outside Bilston Street police station, Detective Chief Inspector Tony Styles said Noel White, aged 40, and his five-year-old daughter Shanice Clare White, lived with her mother in the Oxley area of the city.
He said he did not believe any third party was involved in the incident and confirmed suicide was being investigated as one of a number of lines of inquiry.
Mr Sykes said the man and girl were found lying in Skinner Street by two officers patrolling the city centre just moments after they fell from the 11th floor of Beatties store car park.
The constables administered first aid and tried to revive the pair before paramedics arrived to take over.
The father and daughter, were taken to nearby New Cross Hospital where they were pronounced dead on arrival.
Speaking to reporters, Mr Sykes said: “Early indications are it was a happy relationship and (the mother) had no cause for concern that we are aware of.
“They were a normal, happy family.
“What I’m hoping is that, by looking at CCTV evidence and by other people coming forward and, clearly, when we are able to speak to the mother, we may have a clearer view.”