I'll praise my Maker with my [while I've] breath. I. Watts. [Ps. cxlvi.] First published in his Psalms of David, &c., 1719, in 6 stanzas of 6 lines, and headed, “Praise to God for His Goodness and Truth." It is sometimes given in this form: but the more popular arrangement, which is in extensive use in all English-speaking countries, is that by J. Wesley, beginning, "I'll praise my Maker while I've breath." This is composed of stanzas i., iii., iv. and vi. somewhat altered. It appeared in Wesley's Psalms & Hymns, Charlestown, South Carolina, 1736-7; was repeated in the Wesley Psalms & Hymns, 1743, and in the Festival Hymnal, 1780. Another arrangement is, "Happy the man whose hopes rely." This is composed of stanzas iii., iv., and vi. somewhat altered, and was given in Cotterill’s Selection, 1810. Neither the original nor the arrangements by Wesley and by Cotterill have the doxology which is found in some collections.
--John Julian, Dictionary of Hymnology (1907)