Father Uzhunnalil, who looked very weak, appeared to be reading out from a text placed before him.
The veracity of the video, which was uploaded to YouTube and Facebook, could neither be independently verified nor was the period when it was shot known.
Father Uzhunnalil, from Kerala, was abducted in March by terror group ISIS which attacked an old-age home run by Mother Teresa's Missionaries of Charity in Aden, a city in south Yemen.
He claimed his captors have made several attempts to contact the the Government of India - President and Prime Minister. "I am very sad that nothing has been done seriously," he said.
He said reports had said everything has been done to get his release, "but in reality nothing" has been done.
"I am from India and not considered. Dear people, I pray you all, ask you all, beg you all to do your might to help me to save my life. I need hospitalisation soon. Please come to my help quickly," he said.
The Centre has said efforts are being made to secure Father Uzhunnalil's release, but such attempts take time.
External Affairs Minister Sushma Swaraj had informed Parliament that Prime Minister Narendra Modi himself has spoken to various countries through which contacts can be established in Yemen.
Ms Swaraj had said it takes time to secure the release of people who are held captive and asked the MPs to keep "faith" in government's efforts to trace the abducted priest.
Get Breaking news, live coverage, and Latest News from India and around the world on NDTV.com. Catch all the Live TV action on NDTV 24x7 and NDTV India. Like us on Facebook or follow us on Twitter and Instagram for latest news and live news updates.