The whole book of Psalms is called, in Hebrew, the Book of Praises (Sefer Tehillim). Not all the Psalms are praise songs. Some are cries of distress. But the book is called the Book of Praises because its many psalms meet us in our present experiences, whatever they are, and invariably point our hearts toward God’s victories—realized or promised. Indeed, the whole Psalter reaches its climax with a “new song” (Ps. 149) and a “hallelujah” benediction (Ps. 150). Until that great day comes when all our tears will be wiped away and we will sing only “new song” praises (Rev. 5:9; 14:3), the variety of songs in the Psalter tune our hearts to that joy now. It is for this reason that the Psalter is called the Book of Praises, and this book about singing those ancient songs is called Sing a New Song.
Joel R. Beeke and Anthony Selvaggio, Sing a New Song: Recovering Psalm Singing for the Twenty-First Century, Loc. 91.