All-rounder Stokes, 25, has recovered from the calf injury he suffered in the second Test against Pakistan. James Vince is omitted after a modest Test series, but uncapped Hampshire team-mate Liam Dawson is included.
Wood is fully fit again following ankle trouble, while Jos Buttler and skipper Eoin Morgan have also overcome injury. Stokes has been hampered by injuries this summer, missing the remainder of the Sri Lanka series with a knee injury sustained in the first Test in May.
Fast bowler Wood, 26, has not played for England since needing two operations on an ankle problem suffered in last winter’s series against Pakistan in the UAE. The ODI series begins at the same venue on 24 August.
England ODI squad:
E Morgan (capt), M Ali, J Bairstow , J Buttler, L Dawson, C Jordan, A Hales, L Plunkett, A Rashid, J Root, J Roy, B Stokes, D Willey, C Woakes, M Wood (Durham).