I have a SONY BDP-BX37 1080P HDMI WiFi Blu-Ray DVD Player NIB. I bought surround sound speakers. Can I hook th?

No

You'll need an A/V receiver (some good brands Onkyo, Denon and Sony) that decodes surround sound signals dolby-digital and/or dts.

A 600 watt receiver should be plenty loud enough.

Your blu-ray might send dolby-digital hd and dts master audio hd, so buying a receiver that can decode those formats would be best.

Blu ray disc player does not have any power amplifiers to drive any speakers. The blu ray disc player has to be connected to a receiver for you to get any sound off it. Manufacturers of speakers do not make home speakers with there own power amplifier, the only speaker that does is the subwoofer and some computer speakers. If you system is a home theater in a box that came with speakers, you can just repalce the speaker with the one you purchase. On the other hand your home theater in a box might not have enough power to properly drive the speakers you purchase also. Hope this will help you out.

Well I hate to be the bearer of bad news but unless they are active speakers, you can't hook them up directly to a DVD player. Even if they are active speakers it will still be problematical. BTW, active speakers are speakers that have built in amplifiers. There is a FAQ page at addresses issues like this. The question about hooking speakers up to TVs, #1, applies. Just substitute DVD for TV:

http://faqaudio.blogspot.com/