Find the motherboard brand/model # and memory brand/model.
Check the motherboard's manufacturer's support page for compatible memory with that specific motherboard. Also check their forum for similar problems and solutions.
Unplug all non-critical peripherals ( might be a driver issue).
Swap the two (or more) memory sticks, see if that changes the freezing somehow.
Check mother board manufacturer for updated BIOS, especially if the new BIOS addresses memory concerns.
If the BIOS doesn't have a memory test, Try MemTest86+.
If it's not the hardware, the BIOS, or the BIOS settings: Boot a live USB stick, see if the problem still exists ( might be a corrupt install somewhere; backup data and install a different distro; on a different drive if available; or stick (a backup of?) the boot drive in a different machine).
This does sound like a hardware problem: