PokéBase - Pokémon Q&A
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You don't kill Reshiram. You make it faint.
By looking at your username, I guess you get offended by someone saying kill reshiram

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If, when you reach the end of the game, you have a maxed party and maxed boxes, the game will progress without you needing to capture Reshiram/Zekrom (previously, the game will not continue until it is captured, and you will be able to capture Reshiram/Zekrom in Black & White respectively in the Dragonspiral Tower. They will once again be at Level 50. Reshiram & Zekrom cannot be captured in their shiny appearances.

This is what serebii has to say for it.

So yeah it will keep re-appearing until it has been caught/you have been defeated/you run out of pokeballs.

If you run out pokeballs/have full boxes and party and it had to be defeated, you can still catch it at the top of the Dragonspiral tower in Icirrus City.

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Hope I helped!

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but how will u catch it if you have max party and Boxes
that para meant that if you have no space to put zekrom/reshiram then you can defeat them and continue. then you can find them dragonspiral tower at level 50. otherwise, the game does not continue until you've captured it.