My spouse’s income or pension is originally expressed in a currency other than the Swiss franc. In which currency should I report his income?

You must declare the income or pension in the original currency. You can declare several amounts in different currencies by adding an income source (e.g. an income and a subsistence allowance). The official exchange rate in force at CERN on the effective date of your declaration will be used to produce the conversion into Swiss francs, and this is displayed immediately in the EDH form.
Do not convert the amount into Swiss francs yourself.