check out Intown Concord's weekly roundup here

Weekly / Ongoing:

Concord Farmer's Market:
Saturday's 8:30 to noon. Capitol Street (next to State House)

Farmer's Market facebook page / Farmer's Market website

Concord Arts Market:
Saturday's 9 to 3 at Bicentennial Square

Arts Market facebook page / Arts Market website

For more information on Downtown Concord, visit Intown Concord.
Additional Concord links:

City of Concord, NH
Concord Chamber of Commerce
Concord Main Street Project