Members of all political parties and others from around Scotland are giving their thoughts to the Commission, which was set up after the Scottish independence referendum.
Voters rejected the proposal of breaking away from the United Kingdom by 55% at the poll on 18th September.
The Church has now put forward what powers it thinks should be given to Holyrood.
Its recommendations include policies for tax and benefits being made in Edinburgh, but it accepts that "there does need to be a degree of solidarity across the UK where prosperity is shared and those with broadest shoulders can carry the extra weight of supporting those less fortunate".
The Church also wants broadcasting rules, immigration and asylum policy, and energy, environmental and climate change issues devolved from London.
Convener of the Church and Society Council, Rev Sally Foster Fulton, said: "This is more about making a difference in relation to poverty, health, education and all the other aspects of human flourishing than it will be about a transfer of powers from one parliament to another."
The recommendations of the Smith Commission are due to be published by the end of November.