Methods of attaching cutting elements to earth-boring tools, comprising abutting a portion a cutting element against at least one surface of an earth-boring tool with a braze material disposed therebetween; and brazing the cutting element to the earth-boring tool by applying high-frequency vibrations to cause the braze material to become flowable. Methods of securing cutting elements to earth-boring tools may comprise at least partially coating a cutting element with a braze material. The cutting element may be at least partially disposed in a pocket formed in a body of an earth-boring tool with the braze material adjacent surfaces defining the pocket. The cutting element and the braze material may be ultrasonically torsionally oscillated to braze the cutting element within the pocket.