Booker was born in Nottingham, England. As a young man, he pursued the religious studies of the Church of England, and took Holy Orders in 1785. Frederick Cornwallis, Bishop of Lichfield and Coventry ordained Booker without a title.
Shortly after his ordination, Booker became a lecturer at St Peter's Collegiate Church of Wolverhampton, after which he became a curate at Oldswinford. For many years thereafter, he served as vicar of Church of St. Edmund in Dudley. In 1806, he became rector of Tedstone Delamere, after an introduction by his brother-in-law, Richard Blakemore. He returned to Dudley in 1812 through his association with William Lord Viscount Dudley and Ward. Booker laid the cornerstone for Dudley's St Thomas Church on 25 October 1816. He remained at Dudley until shortly before his death, having preached 173 sermons. During the Regency, Booker was one of the Chaplains in Ordinary to George IV.
A charity preacher and an early contributor to the Anti-Jacobin Review and Magazine, he was a prolific publisher of poems and sermons, and at least one play. In 1823, he edited Poetical Blossoms by poet Robert Millhouse. He was a Fellow of the Royal Society of Literature, and a philanthropist. Booker also served as Justice of the Peace for the counties of Worcester, Hereford, and Stafford.
He married Ann, daughter of Thomas Blakemore; they had two children. The son, Thomas William Booker, was adopted by Blakemore, raised at the Melingriffith Tin Plate Works, and became MP for Herefordshire. There was also a daughter, Harriet-Esther Booker. Booker died at Bower Ashton, England. William J. Pringle's portrait of Booker is part of the Dudley Museum's collection.
- The highlanders a poem, 1778
- Poems on subjects sacred, moral, and entertaining, 2 vols, 1785
- A sermon, preached in the parish church of old Swinford, Worcestershire, 1788
- Miscellaneous poems, 1789
- A sermon, preached at St. Edmund's church, in Dudley; and published for the purpose of erecting a monument, 1791
- Britain's happiness; an assize sermon ... exhibiting an historical review of providential interpositions in favour of the British Empire, 1792
- A sermon preached in the parish church of St. Thomas; at Dudley ... and an address to the common people, &c. on the subject of riots, 1793
- Sermons on various subjects, 1793
- Malvern, a descriptive and historical poem, 1798
- The hop-garden, a didactic poem, 1799
- A discourse, (addressed chiefly to parents) on the duty and advantages of inoculating children, 1802
- Calista; or, a picture of modern life, 1803
- Poems, 1803
- Tobias, a poem, 1805
- A moral review of the conduct and case of Mary Ashford, in refutation of the arguments adduced in defence of her supposed violator and murderer, 1818
- The foundations of a kingdom endangered by iniquity, and its ruin prevented by righteousness, 1820
- Euthanasia; or, the state of man after death, 1822
- A descriptive and historical account of Dudley Castle, and its surrounding scenery; with graphic illustrations, 1825
- Tributes to the dead, consisting of ... epitaphs, 1830
- The champion of Cyrus: a drama, 1831
- The springs of Plynlimmon: a poem, 1834
- "Obituaries". The Gentleman's magazine (Public domain ed.). London, England: Printed by F. Jefferies. 1836. pp. 93–. Retrieved 21 April 2012.
- Clark, Charles Francis G. (1881). The curiosities of Dudley and the Black country, from 1800 to 1860, compiled and ed. by C.F.G. Clark (Public domain ed.). pp. 6–. Retrieved 21 April 2012.
- The Athenæum (Public domain ed.). 1831. pp. 403–. Retrieved 22 April 2012.
- Montluzin, Emily Lorraine De (1988). The Anti-Jacobins, 1798–1800: the early contributors to the Anti-Jacobin review. Macmillan. p. 62. Retrieved 21 April 2012.
- Burke, Sir Bernard (1894). A genealogical and heraldic history of the landed gentry of Great Britain & Ireland (Public domain ed.). Harrison. pp. 183–. ISBN 978-0-394-48726-7. Retrieved 21 April 2012.
- The Gentleman's magazine (London, England) (Public domain ed.). Printed by F. Jefferies. 1820. pp. 247–. Retrieved 21 April 2012.
- Institution of Civil Engineers (Great Britain) (1859). Minutes of proceedings of the Institution of Civil Engineers (Public domain ed.). The Institution. pp. 202–. Retrieved 20 April 2012.
- Burke, John; Burke, Bernard (1847). A genealogical and heraldic dictionary of the landed gentry of Great Britain & Ireland (Public domain ed.). H. Colburn. pp. 107–. Retrieved 21 April 2012.
- Gordon, Alexander (1886). "Booker, Luke". In Stephen, Leslie. Dictionary of National Biography 5. London: Smith, Elder & Co.