The Grammy-nominated singer's new number is featured in the soundtrack of the Garth Davis-directed film "Lion", starring British-Indian star Dev Patel, reported JustJared.
The 40-year-old Australian musician also shared the song's lyric video on her Twitter account to ring in the New Year.
"Never Give Up" got 225,448 (and counting) views on YouTube within hours of going online.
Ardent Sia fans will, however, be a little disappointed as the singer continues to remain hidden in the video, yet again.
"Lion" stars Australian actress Nicole Kidman, American actress Rooney Mara besides Patel.