Here are the weekly manga & light novels rankings for May 30th - June 5th.

ranks/ this week's sales by copies/ cumulative sales/ titles
Manga
*1, 538,406 *,538,406 Naruto vol.56
*2, 387,322 *,387,322 Bleach vol.50
*3, 270,024 *,270,024 Bakuman vol.13
*4, 210,793 *,210,793 D.Gray-man vol.22
*5, 157,384 *,159,234 Mahou Shoujo Madoka Magica vol.3
*6, 121,589 *,121,589 JoJo's Bizarre Adventure Part 7: Steel Ball Run vol.24
*7, *96,961 *,*99,673 Tomehane! vol.8
*8, *93,210 *,*93,210 Gate 7 vol.1
*9. *92,558 *,*93,644 I am a Hero vol.6
10, *88,247 *,*88,247 Claymore vol.20

11, *74,430 *,*74,430 Sora no Otoshimono vol.12
12, *68,862 *,*68,862 Vampire Knight vol.14
13, *63,863 *,*63,863 Kure-nai vol.7
14, *62,680 *,*62,680 Bleach Official Character Book vol.3
15, *54,884 *,*54,884 Yu-Gi-Oh! GX vol.9
16, *51,497 *,167,475 Deadman Wonderland vol.10
17, *48,039 2,815,095 One Piece vol.62
18, *44,806 *,*44,806 Rosario+Vampire Season II vol.9
19, *42,580 *,124,845 Mei-chan no Shitsuji vol.15
20, *41,757 *,*50,234 Junjou Mistake

21, *40,250 *,175,159 Billy Bat vol.6
22, *38,757 *,*76,808 Rozen Maiden vol.5
23, *32,877 *,*32,877 Yu-Gi-Oh! ZeXal vol.1
24, *31,246 *,357,543 Ao no Exorcist vol.3
25, *30,841 *,359,874 Ao no Exorcist vol.2
26, *30,378 *,152,182 Genshiken Nidaime vol.1
27, *30,205 *,379,418 Ao no Exorcist vol.1
28, *28,855 *,*28,855 7 nin no Shakespeare vol.4
29, *25,775 *,*25,775 Enigma vol.3
30, *25,374 *,243,768 Kekkaishi vol.34

Light Novels
*1. 95,728 *,*99,786 Saiunkoku Monogatari vol.17 Part 1
*2, 47,311 *,388,495 Suzumiya Haruhi Series vol.10 Limited Edition
*3, 31,177 2,224,234 Moshidora
*4, 30,735 *,*45,845 Ten to Chi no Moribito vol.1
*5, 29,327 *,*43,242 Ten to Chi no Moribito vol.2
*6, 28,790 *,*42,470 Ten to Chi no Moribito vol.3
*7, 28,241 *,*97,834 Toshokan Sensou vol.3 Small Sized Edition
*8, 27,998 *,*28,744 Shounen Onmyouji vol.34
*9, 19,570 *.212,260 Toshokan Sensou vol.1 Small Sized Edition
10, 16,686 *,*17,167 Hakushaku to Yousei vol.10
11, 14,752 *,*18,940 "Aoi" Hikaru ga Chikyu ni Itakoro...... vol.1
12, 12,612 *,151,647 Toshokan Sensou vol.2 Small Sized Edition
13, 10,420 *,*14,155 Gosicks vol.4
14, *9,620 *,*12,102 Kokoro Connect vol.5
15, *9,254 *,**9,501 Toho Yoyuki vol.6

Sources: Oricon Manga Ranking, Oricon Novel Ranking