A 20-year-old man was hit in the face with a wine bottle and sustained serious facial injuries and required hospital treatment.
The man was attacked on Terrace Road.
Just before that incident wine was stolen from Tesco Express on London road at around 2.40am on Friday, September 14.
A police spokesman said: "Can you help us identify the men in these CCTV images? We'd like to speak to them in connection with the theft of wine and an alleged assault in Buxton."
Do you recognise the men in the images, or have any information which could help with enquiries?
If so, please get in touch with police using one of the following non-emergency contact methods.
Please quote the reference number 18000439320 and the name of the officer in the case, PC Simon Clarke, in any correspondence.
Facebook – send us a private message to /DerbyshireConstabulary
Twitter – direct message our contact centre on @DerPolContact
Website – complete the online contact form www.derbyshire.police.uk/Contact-Us.
Phone – call us on 101.