Looks like an old Hagstrom like what his signature is based on, but with a Fender-style neck on it.
That is the Gibson David Grohl Signature DG 355 model, based in the Trini Lopez semi hollow from the 60s.
--- Joe ---
77 Bradley LPC || 07 PRS CE22 || 11 PRS MC58 Artist || 95/02 Fender Strat || 99 Gibson LP DC Std Lite
06 Ovation Elite-T || 12 Martin GPCPA4
Boss GT100 || Peavey Stereo Chorus 400 || Peavey Bandit 75 || Roland JC77
Last edited by Auriemma at Oct 7, 2016,
I found answer after digging 30ish minutes on the google. xD

"SMEAR I took a Hagstrom body, like their Strat clone guitar [a modi­fied F Series model], and just got an Allparts neck and screwed it on there. It's kind of rough on the high notes, but it's okay."