The 35-year-old actress confirmed the news in an emotional Facebook post.
"Our beloved father Colonel Vikram Kumar Jaitly, left us yesterday at 5:23 AM... I thank the doctors who did everything to save him on behalf of my family," Celina told PTI.
The actress-model thanked the officers and jawans of the Kumaon battalion for giving her father a ceremonial send off with full military honours at MHOW (military HQ of war) crematorium.
In the Facebook post, the actress paid tribute to her father and described him as a popular leader among his colleagues, who called him 'Tiger'.