he appears in the burned tower(after facing your rival)in ecruteak city .next,you will find suicune in ciawood city at northern part where you can use the hm rock smash where he see you and starts dancing or running around you and flees.next you will see him at corner where apricorn trees grown near monogany town ,as soon you use cut to destroy the tree in the path and move forward he will react and push you out of the way and then flee to kanto.after winning the johto league and doing some activties ,he will appear at vemillion city(on the water)and flees to a certain route ( i think that route is near fuchsia city not the bike path)and he stops at bill's cape in cerulean city ,where he will battle you but be careful he's in lvl.40. pls. note that suicune will not appear in bill's cape until you spoil the gym leader misty's date with another boy and defeating her in the cerulean gym.
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Pokemon HeartGold and SoulSilver.
you go to the ocean/sea (next or in between rout 14 & 15)then you'll see suicune. it'll then run up the water. then a man will come and challenge you to find suicune the fastest.
Suicune is a hard Pokemon to catch Suicune will move around diffrent places. You normally catch Sucune at level 40 use your map to try and find Suicune on your pokegear. It is hard but you will get there
Suicune is probably not on route 25 if you met him everywhere else because you haven't caught Entei and Raikou. If you caught them and Suicune still isn't there then look at the places Suicune was, then go back to route 25 WITH ENTIE AND RAIKU IN YOUR PARTY!
after that, someone at the battle frontier will tell you about latias and latios. then, latias will start roaming kanto.