Will this Build work?

Alright So I plan on pretty much building a new pc for Christmas but not completely rebuilding:

Current System Specs:

AMD Phenom II(tm) 830 2.8 GHz
6 GB DDR3 RAM at 2000.0 MHz
FOXCONN Model 2AB1 MOBO
750 GB SATA 3.0 Gb/sec 7200 RPM HDD
250W Power Supply


New Build:
CPU: AMD Phenom II X4 965 Black Edition Deneb 3.4GHz Socket AM3 125W Quad-Core Processor
GPU: HIS iCooler H777F1G2M Radeon HD 7770 GHz Edition 1GB 128-bit GDDR5 PCI Express 3.0 x16 HDCP Ready Video Card
PSU: CORSAIR Builder Series CX600 600W ATX12V v2.3 80 PLUS BRONZE Certified Active PFC Power Supply

TOTAL: $260 after Cash and Rebate.

Need to know if this build will work and If anything else needs upgrading for it to work.

THANKS!