This much-loved hymn is by Charles Wesley and if you visit the Cyberhymnal, you can listen to the traditional tune. Alternatively, here is a YouTube video of Chris Eaton singing the hymn to a modern tune that he composed. I think his is a wonderful version. You can visit his website here. Lyrics are printed underneath the video.
Jesus, lover of my soul, let me to Thy bosom fly,
While the nearer waters roll, while the tempest still is high.
Hide me, O my Savior, hide, till the storm of life is past;
Safe into the haven guide; O receive my soul at last.
Other refuge have I none, hangs my helpless soul on Thee;
Leave, ah! leave me not alone, still support and comfort me.
All my trust on Thee is stayed, all my help from Thee I bring;
Cover my defenseless head with the shadow of Thy wing.
Wilt Thou not regard my call? Wilt Thou not accept my prayer?
Lo! I sink, I faint, I fall—Lo! on Thee I cast my care;
Reach me out Thy gracious hand! While I of Thy strength receive,
Hoping against hope I stand, dying, and behold, I live.
Thou, O Christ, art all I want, more than all in Thee I find;
Raise the fallen, cheer the faint, heal the sick, and lead the blind.
Just and holy is Thy Name, I am all unrighteousness;
False and full of sin I am; Thou art full of truth and grace.
Plenteous grace with Thee is found, grace to cover all my sin;
Let the healing streams abound; make and keep me pure within.
Thou of life the fountain art, freely let me take of Thee;
Spring Thou up within my heart; rise to all eternity.