About one hundred magnets of six different types shall be installed in the High Luminosity LHC (HL-LHC) in the years 2026-2028 at CERN. These accelerator magnets are characterized by (i) a large aperture (105 to 150 mm) inducing large accumulation of stress due to electromagnetic forces, (ii) tight requirements on field quality due to the large values of the particle amplitudes in this region, and (iii) small series (6 to 20 magnets of the same type) giving a limited possibility of feedback and tuning during production. The magnet design, construction and test are based on CERN collaborations with institutes and industrial partners in USA, Spain, Italy, Japan and China. Three types of correctors are based on Nb-Ti technology and conductor peak field in the 2 to 4 T range: for all of them the protoype phase has been sucessfully completed. The production is well advanced for the superferric correctors, and is starting for the canted cos theta correctors and for the nested correctors. The separation and recombination Nb-Ti dipoles D1 and D2, with a 4.5-6 T bore field range, are both in the prototype phase after the completion of the short model program. The most challenging magnet, the Nb3Sn quadrupole with conductor peak field above 11 T is in the prototype phase at CERN and halfway through the production phase in the USA. In this paper we will first give an update on the values of the magnet parameters with respect to the initial baseline presented in ASC-2015. Then, for each type of magnet, we will give an overview of the main achievements obtained so far, pointing out which project requirements have been fulfilled, and we will outline the technical points still needing validation from the prototype program. We will conclude giving an outlook of the most critical issues that can be expected along the production.