I am fairly confident it should...
RAM:
http://www.kingston.com/dataSheets/KVR1333D3N9K2_8G.pdf
Mobo:
GA-H55M-D2H running an i3 530.http://www.gigabyte.com.au/products/product-page.aspx?pid=3465#sp
RAM:
http://www.kingston.com/dataSheets/KVR1333D3N9K2_8G.pdf
Mobo:
GA-H55M-D2H running an i3 530.http://www.gigabyte.com.au/products/product-page.aspx?pid=3465#sp