Abstract: A float assembly for buoying ropes, cables, pipelines, or any other type of line, completely surrounds the line to which it is attached. The assembly is formed from a plurality of preferably identical circumferentially adjacent float pieces. The pieces attach to one another along radial planes which contain semipermanent attachment means. As each chamfered circumferential piece is added to the last the line is gradually surrounded by the whole of all the pieces. This allows the float to be attached or removed to an existing long line without the need to thread the line through the float assembly. Bands or straps are used to permanently secure the individual float pieces in place upon the line. The line passage hole may be sized or shimmed so as to firmly secure the float assembly on the line.