Here is the weekly manga sales ranking top 30 for June 1st - 7th.

*1, 1,171,142 1,171,142 One Piece vol.54
*2, *,532,553 *,532,553 Bleach vol.39
*3, *,300,630 *,300,630 D.Gray-man vol.18
*4, *,200,369 *,200,369 Bakuman vol.3
*5, *,133,012 *,133,012 Bastard!! vol.26
*6, *,116,801 *,415,992 Vagabond vol.30
*7, *,106,207 *,106,207 To-LOVE-Ru vol.14
*8, *,*96,890 *,*96,890 Vampire Knight vol.10
*9, *,*95,884 *,*95,884 Nurarihyon no Mago vol.5
10, *,*71,118 *,*71,118 Faster than a Kiss vol.5

11, *,*62,312 *,*62,312 Rosario+Vampire II vol.4
12, *,*61,715 *,*61,715 Letter Bee vol.7
13, *,*57,542 *,*57,542 Sket Dance vol.8
14, *,*47,028 *,*47,028 Psyren vol.6
15, *,*44,489 *,*44,489 Shugo Chara! vol.9
16, *,*42,876 *,*84,726 Shin Say Hello to Black Jack vol.6
17, *,*42,250 *,*42,250 Shaman King Complete Edition Final Official Guide
18, *,*28,485 *,*28,485 Matsuri Special vol.3
19. *,*28,217 *,*28,217 To-LOVE-Ru vol.14 with OVA
20, *,*28,091 *,*28,091 Himeanor vol.3

21, *,*25,821 *,299,933 Tenjou Tenge vol.20
22, *,*23,926 *,*79,310 Kimi to Boku vol.7
23, *,*23,568 *,*23,568 Shinjuku Swan vol.18
24, *,*23,422 *,*23,422 Reibaishi Izuna vol.3
25, *,*23,056 *,*87,484 FIVE vol.11
26, *,*22,367 *,*85,509 Kaze Hikaru vol.26
27, *,*22,192 *,*93,666 Black Bird vol.8
28, *,*21,697 *,*21,697 Hikaru no Go Complete Edition vol.9
29, *,*21,633 *,951,324 Naruto vol.46
30, *,*21,152 *,*93,587 Koibana! Koiseyo Hanabi vol.5

The last week's ranking: Japan's Weekly Manga Ranking For May 25 - 31
Source: Oricon Comic Ranking

Additional news:

Kawai Katsutoshi's manga "Tomehane! Suzuki Koukou Shodo-bu" was announced to get a live action TV drama adapation. It will be aired from January 2010.
"Tomehane!" is a manga about Shodo (East Asian calligraphy).

Source: Natalie

Weekly Light Novel Ranking for June 1 - 7
*1, 24,254 36,072 Shounen Onmyouji vol.26
*2, 10,935 18,385 Monster Hunter Shippuu no Tsubasa vol.4
*3, 10,823 16,550 Lady Gunner to Nijiiro no Hane
*4, *8,707 *8,707 Kaze no Oukoku vol.15

Source: Oricon Novel Ranking