The Malaysian billionaire, who has instigated the npower Championship leaders' new crest and controversial colour change from blue to red, was refusing to rule out renaming the club Cardiff Dragons at the end of the season in an interview with BBC Sport.
That possibility caused anger amongst a number of City fans but Tan gave them his personal commitment that the change will not be happening, in a statement released on Thursday afternoon.
"I can assure all supporters that we will not be changing our name from Cardiff City Football Club, a club I am very proud to be a part of," it said.
"Our name is our identity and remains at our core. I would not want any of our supporters to be concerned that this change would be made, hoping that this personal commitment from myself removes any fears.
"I believe the colour change is positive and will bring good tidings to Cardiff City Football Club. At this point of time, no decision has been made to change the club crest for the next season."