Baljeet Singh's trial for allegedly indecently assaulting the radio host began on Monday before a jury and Judge Nevin Dawson.
Feeney, the long-time host of The Edge's breakfast show, waived her right to suppression and has talked about her allegations on social media.
Singh denied the charge and entered a not guilty plea last year.
Hours into their deliberations, the jury told the court they were evenly divided on the verdict and were not making any progress.
Later they told Judge Dawson they had exhausted all their possibilities.
Judge Dawson, who summed up the case this morning in the Auckland District Court, discharged the jury late this afternoon.
The judge said the jury had done their best.
Singh was remanded on bail and will appear in court again in two weeks when the Crown will decide if it will seek a retrial for the taxi driver.
The Crown said Feeney has been "consistent, candid and straight-up" throughout the trial and had never resiled from her evidence that she had been indecently assaulted.
But the defence said the 28-year-old had been publicly and falsely accused and "is living every man's worst nightmare".
Feeney had been a passenger in Singh's taxi early on October 1 last year.
This week the court heard the conversation in the taxi between the two had started normally before Singh asked about her relationship status.
On Monday, Feeney said during the taxi ride Singh "was commenting on how beautiful I was and how I had nice breasts".
She said Singh had also stroked her hand.
"That's when I started feeling uncomfortable," she told the court.
The radio host said Singh told her she did not have to pay for the trip.
"No pay, I touch your breasts," Feeney recalled Singh saying.
"It took me a couple of minutes to convince him to take my card off me."
After paying, Feeney said: "He reached over and put his hand down my top, under my bra."
In his police interview, played in court yesterday, Singh denied indecently assaulting Feeney and denied commenting on her breasts.
"I didn't say anything of that sort," he told police with the assistance of a translator who spoke Punjabi.
"No nothing like that happened. I did not touch her at all."
