The duo have been made unavailable after key all- rounder Stokes, 26, was arrested in Bristol in the early hours of Monday morning following England's 124-run win in the third ODI in the southwest city on Sunday.
Hales, 28 was with Stokes when the incident happened in the Clifton district of Bristol on Sunday night.
The Oval match takes place just hours after England are due to unveil their squad for the Ashes tour of Australia at the south London ground earlier on Wednesday.
"Stokes was arrested in the early hours of Monday morning, 25 September, following an incident in Bristol," the former England captain added as he continued to read out the statement.
"He was held overnight and released under investigation -- without charge -- late on Monday and will not join the team in London.
"Hales, who was with Stokes on Sunday night, did not train this (Tuesday) morning and has returned voluntarily to Bristol today to help police with their enquiries.
Strauss confirmed that both Durham star Stokes -- a Test regular -- and Nottinghamshire batsman Hales, a fringe candidate, will be considered for the Ashes squad on cricketing grounds alone by the England selectors at this stage.
Meanwhile a statement issued by Avon and Somerset police said: "We were called to a disorder in Queens Road, Clifton, at around 2:35am (0135 GMT) on Monday.
"A 27-year-old man was found to have suffered facial injuries and was taken to the Bristol Royal Infirmary for treatment.
The police statement asked anyone who was in the Clifton Triangle area in the early hours of Monday "who saw any part of this incident" to contact them.
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