Phenom II X6 1100T Black Edition processor
MSI 870-G45 AM3 AMD 770 ATX AMD Motherboard
SI N550GTX-Ti Cyclone OC GeForce GTX 550 Ti Graphics card
Yes. According your motherboard support page (under support/cpu support) it will.
It appears that you need the "7599vA8" BIOS (or higher) to support that chip. If you don't have that BIOS or higher, follow your motherboard's support instructions on updating your BIOS to the latest version.