Select the version of the code you want, click the "Download Now" button, and your browser should download a gzipped tar file. Unpack it with the following commands, and look for a README to get you started.
gunzip file.tar.gz tar xvf file.tar
All versions of LAMMPS are distributed under the terms of the GNU Public license. The earlier Fortran versions are no longer under active development.
There have been ~20,500 downloads of LAMMPS since Sept 2004.
Older parallel MD codes (ParaDyn, LJ) and the Python-based Pizza.py package, which provides pre- and post-processing and viz tools for LAMMPS, are available for download from this page.