My guess would be that there is some kind of conflict with Python paths on the machine, or maybe Conda, can't be sure.
Did you have other installs of Python and/or Anaconda before installing Pro?
One thing you might check is if you have a Python path in your system's PATH environment variable.
From the Start button, search for Environment Variables
Check to see if you're pointing to a specific version of Python in the Path variable.
Thanks for your quick response.
I also have ArcMap 10.6.1 installed with it’s version of Python. No other installs of Python.
I can’t see any reference to Python in either the System Variables or my user variables.
Can you send the .dmp file?
Go to C:\Users\<username>\AppData\Local\ESRI\ErrorReports and attach a few of the latest .dmp files from Pro crashing. The filename contains a date-time stamp:
Hmm, so it isn't generating a dump file. I guess I'd say to try a Repair of the installation and if that doesn't work you'll need to reach out to technical support for assistance.