Note: This does not work in any recent version of Python.

Unfortunately, I believe you have to do this by monkey-patching (which, to my opinion, indicates a design defect in the standard library json package). E.g., this code:

import json
from json import encoder
encoder.FLOAT_REPR = lambda o: format(o, '.2f')

print(json.dumps(23.67))
print(json.dumps([23.67, 23.97, 23.87]))

emits:

23.67
[23.67, 23.97, 23.87]

as you desire. Obviously, there should be an architected way to override FLOAT_REPR so that EVERY representation of a float is under your control if you wish it to be; but unfortunately that's not how the json package was designed:-(.