This paper presents the status of the APEmille project, which is essentially completed, as far as machine development and construction is concerned. Several large installations of APEmille are in use for physics production runs leading to many new results presented at this conference. This paper briefly summarizes the APEmille architecture, reviews the status of the installations and presents some performance figures for physics codes.

This talk is divided in two parts. In the first part, we will summarize the status of the APEmille project that will be completed by the end of the year. We will then devote the rest of the talk to the description of a new project for a multi-TeraFlop machine, apeNEXT. The interested reader will find a much more detailed discussion of all the items touched upon here in the full proposal of the project that will shortly appear on hep-lat.

We report on the progress and status of the integration and test of APEmille, a SIMD parallel computer optimised for Lattice Gauge Theory (LGT) with a peak performance in the TeraFlops range. After extensive development and testing of the design, a first 128-node system has quickly and successfully been integrated. Tests with physics production runs are to be started soon.

We report on the progress and status of the APEmille project: a SIMD parallel computer with a peak performance in the TeraFlops range which is now in an advanced development phase. We discuss the hardware and software architecture, and present some performance estimates for Lattice Gauge Theory (LGT) applications.

We report on the progress and status of the APEmille project: a SIMD parallel computer with a peak performance in the TeraFlops range which is now in an advanced development phase. We discuss the hardware and software architecture, and present some performance estimates for Lattice Gauge Theory (LGT) applications.