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PSPP can be downloaded for free from the Free Software Foundation. The official web site is GNU PSPP. The Obtaining GNU PSPP page has links to the download locations. Before downloading, it's worthwhile to browse the official site and learn more about PSPP.
Most beginning statisticians will want the "binary" version. This is the compiled program that is ready to be installed. The binary software is variously called a package (Linux), installer (Windows), or bundle (Mac). Choose the version that is appropriate for your computer's operating system.
Another choice is between the stable or development versions. The stable version (1.x or higher) is an older program that has been thoroughly tested and proven. This would be the best choice for beginners. The development version may offer more features, but the downside is that this software might be more unstable.
Windows users have several choices. The "latest release" is likely more stable than the "nightly builds." There may be a choice between 32 bit and 64 bit versions. The 64 bit version is for newer computers and may offer better performance.
MacOS may balk at running the installation software because it comes from an unknown or unsigned source. The solution is to give the application proper permission to run, even though it is from an unsigned source. This support article from Apple explains the details.
The download page also has source code: computer programming instructions that are used to create the software. The source code is for computer programmers. Avoid this version unless you are an advanced statistician with a computer programming background.
Download the installation software to your computer. Follow the installation steps when prompted. Administrative privileges may be needed on some computers to install software.
This work is licensed under a Creative Commons Attribution 4.0 International License that allows sharing, adapting, and remixing.