Here are the weekly manga & light novels rankings for June 6th - 12th.

ranks/ this week's sales by copies/ cumulative sales/ titles
Manga
*1, 218,260 *,756,666 Naruto vol.56
*2, 150,464 *,420,488 Bakuman vol.13
*3, 142,794 *,353,587 D.Gray-man vol.22
*4, 134,833 *,522,155 Bleach vol.50
*5, *80,472 *,173,682 Gate 7 vol.1
*6, *71,130 *,159,377 Claymore vol.20
*7, *61,785 *,183,374 JoJo's Bizarre Adventure Part 7: Steel Ball Run vol.24
*8, *59,771 *,*59,771 Hanma Baki vol.29
*9, *56,960 *,125,822 Vampire Knight vol.14
10, *51,020 *,*51,631 Tobaku Mokushiroku Kaiji: Kazuya-hen vol.6

11, *43,797 *,358,384 Ao no Exorcist vol.6
12, *43,266 *,117,696 Sora no Otoshimono vol.12
13, *41,182 *,105,045 Kure-nai vol.7
14, *39,893 *,376,520 Ao no Exorcist vol.5
15, *38,437 *,*38,437 Five Star Stories Reboot vol.3
16, *38,078 *,100,758 Bleach Official Character Book vol.3
17, *37,951 *,417,369 Ao no Exorcist vol.1
18, *37,833 *,375,780 Ao no Exorcist vol.4
19, *35,720 *,395,594 Ao no Exorcist vol.2
20, *35,051 *,*35,051 World Embryo vol.8

21, *33,738 *,391,281 Ao no Exorcist vol.3
22, *31,772 *,*76,578 Rosario+Vampire Season II vol.9
23, *30,559 *,*31,127 Wangan Midnight C1 Runner vol.6
24, *30,226 2,845,321 One Piece vol.62
25, *30,072 *,*30,072 Princess Resurrection vol.15
26, *28,714 *,*28,714 Btooom! vol.5
27, *27,815 *,*27,815 Kodomo no Jikan vol.5
28, *27,323 *,*27,518 Naniwa Tomoare vol.16
29, *23,916 *,*23,916 Machi de Uwasa no Tengu no Ko vol.8
30, *23,861 *,117,505 I am a Hero vol.6

Light Novels
*1, 39,663 *,*39,663 Accel World vol.8
*2, 27,082 2,251,316 Moshidora
*3, 21,572 *,121,358 Saiunkoku Monogatari vol.17 Part 1
*4, 16,618 *,405,113 Suzumiya Haruhi Series vol.10 Limited Edition
*5, 16,081 *,113,915 Toshokan Sensou vol.3 Small Sized Edition
*6, 15,949 *,*15.949 Hataraku Maoh-sama! vol.2
*7, 15,429 *,227,689 Toshokan Sensou vol.1 Small Sized Edition
*8, 13,031 *,*58,876 Ten to Chi no Moribito vol.1
*9, 12,887 *,*56,129 Ten to Chi no Moribito vol.2
10, 12,823 *,*12,823 Baccano! 1932
11, 12,614 *,*12,614 Boku to Kanojo no Game Ki Senso
12, 12,540 *,*55,010 Ten to Chi no Moribito vol.3
13, 11,808 *,*11,808 Fate/zero vol.6 New Edition
14, 10,544 *,162,191 Toshokan Sensou vol.2 Small Sized Edition
15, *9,612 *,**9,612 Kore wa Zombie Desu ka? vol.8 with OVA
16, *9,454 *,116,082 Boku wa Tomodachi ga Sukunai vol.6
17, *8,518 *,**8,518 Ryu to Ryusha to Kawaige no Nai Watashi vol.4

Sources: Oricon Manga Ranking, Oricon Novel Ranking