My church has been singing this song recently. I have looked to find the lyrics online (since I post on my church's Facebook page the lyrics to the song we sang on Sunday) but failed to find this song. So here it is. Hopefully it will help others who are searching for the same thing, but I know it will help me when I keep searching for the previous time I posted the lyrics so I don't have to type them up again.
The authors to this song also wrote "The Trees of the Field" which is a song in our green hymnal which involves clapping and as a conservative, no electronic instruments church, it's always surprising to see that one (but it is a fun song and seems based on Scripture).
The Hallelujah Song
By Stuart Dauermann and Steffi Rubin
There is no condemnation for those in Christ Jesus,
His Spirit has freed us from sin and death.
When the law could not save us in mercy God gave us
His Son as an offering to pay our debt.
Hallelujah, Hallelujah, Hallelujah, Hallelujah.
Now indebted to Him by His Spirit within
We've an offering to give Him in thankfulness.
Take our bodies and minds as we willingly bind them
With love to the alter of holiness.
So, we thank Thee, O Lord, for the love and accord
You have given Your people in all the earth.
That though different we be by Your Spirit we're free to
Grow in the fullness of our new birth.