Infallibility is the concept that the Scriptures contain no falsehood whatsoever. The Scriptures cannot possibly contain falsehood, because God the Holy Spirit is the divine author of the Scriptures and He always tells the truth (2 Timothy 3:16-17, John 16:13, Proverbs 30:5). This doctrine is important, as it means that we can rely on the Scriptures to reveal to us the truth about God, the truth about ourselves, the truth about how we must be saved through Jesus Christ, and the truth about how we are to live holy lives that please Him (John 17:17). (see Bible, Inerrancy, Inspired)
See also
Bible
Inerrancy
Inspired