99% of the time, yes.

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I am of the opinion that you have to match your amp to your speakers.

for instance:

You dont want to plug a set of 15Watt bookshelf speakers into a 1000Watt DJ amp.
The end result will be blown speakers.

Also, something to look out for is something called 'impedance'[ohm]. In the BEST case scenario, you would have a speaker that matches the same impedance as your amplifier... This constitutes for maximum power transfer to your speakers and power efficiency.

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Thanks for the replies.

Say i got two speakers at 350 watts each. Then would i need an amp which consists of 700 watts?

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Not really. This discussion can be had for hours.

1- Most speaker companies, especially consumer speakers, will over-rate their wattage

2- There is a difference between continuous wattage and peak.

3- Receivers v. Amps. There is a difference. I use a receiver to power my speakers. You can also use an amp. There are amps inside my receiver. Some reeivers have 2 seperate amps, some have 1 that splits. This will also effect the power.

4- In direct answer to your question....If you got 2 speakers that can handle 350 watts of power, you should then get an amp that can push out 350w per channel. If it is a 2 channel amp, then it should be 350 x 2 = 700w.

You dont want to overpower or underpower your speakers. You can underpower them a little, but never overpower them.

What kind of Amp/Speakers are you looking at? Budget?

If this is a bedroom set-up and you are going to run to Best Buy, thats a completely different animal then orderin pro-audio from a reputable dealer.

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amp factors:

a) impedance -- an amp puts out a certain amount of power at a certain impedance. the lower the impedance the more power that will be generated, but only to a certain point.
b) power rating -- you should select an amplifier that can provide atleast 1.5 times the rated speaker power. this way, you can run the amp less than full blast, result being lower distortion and a cooler running, longer lasting amplifier.

contrary to popular belief, it's easier to blow up speakers with too small of an amp than too big of an amp, unless your silly and crank up your amp too much or can't recognize the signs of overdriving.

too small of an amp.. and you'll clip the amp trying to get the speakers as loud as they should be. clipping is hard on both crossovers and drivers.. especially compression drivers.