In Soul Silver, use Net Balls. I used Ice Beam from Dewgong, and the second time I used Ice Beam, it made Lugia frozen, and I got it's HP to red. It took two Net Balls to catch him, but it really depends on your luck. Also, you shouldn't use dusk balls, it doesn't work that much as net balls does.
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Go catch Lugia in Whirl Islands! WARNING: Unless you are an EXTREME Lugia fan, don't use a Master Ball on it, unless it is Level 70. Advice: Use Master Ball on Ho-Oh when you get to it. I caught Lugia in a Fast Ball and Latios in an Ultra Ball.
Use at least 20 Ultra Balls/Master Ball if necessary. Timer Balls if very very very long time and still have not succeeded. It is a very good idea to get it on red health and if you change its status like paralysis it. Do not ever try and catch on full health. If you have randomly got another lugia in your party then just use a repeat ball.
You would get Lugia.
yes lugia can but it will take a while
i would say Ultra-Ball so you could save the master for Entei Suicune or Raikou pokeballs are the best balls you can use just use one of them and then do the A/B trick(hold a and b at the same time) and it should catch!