A process for making a loom harness provides for complete prefabrication of a plurality of subassemblies for an entire harness cord assembly as well as enabling the assembly process to move in one direction only rather than two. Each subassembly includes a frame hook, a counterpull element and a heald secured to a flexible harness cord. Connection is made between a bundle of harness cords and a carabiner hook of a Jacquard machine while mails of the healds are maintained at a defined height during an equalization process for insuring the right amount of tautness on each individual harness cord.