Italian Forces

Battleships
    Vittorio Veneto, Flagship of Commander-in-Chief, Admiral A. Iachino

Cruisers
    3rd Division
        Trieste, Flagship of Vice-Admiral L. Sansonetti
        Trento
        Bolzano

    1st Division
        Zara, Flagship of Vice-Admiral C. Cattaneo
        Fiume
        Pola

    8th Division
        Luigi di Savoia Duca Degli Abruzzi, Flagship of Vice-Admiral A. Legnani
        Giuseppe Garibaldi

Destroyers
    6th Destroyer Flotilla
        Nicoloso da Recco
        Emanuele Pessagno

    9th Destroyer Flotilla
        Vincenzo Gioberti
        Vittorio Alfieri
        Alfredo Oriani
        Giosue Carducci

    10th Destroyer Flotilla
        Maestrale
        Libeccio
        Scirocco
        Grecale

    12th Destroyer Flotilla
        Corazziere
        Carabiniere
        Ascari

    13th Destroyer Flotilla
        Granatiere
        Fuciliere
        Bersagliere
        Alpino

Royal Navy Forces

Battleships
    HMS Warspite, Flagship of the C-in-C Mediterranean Fleet, Admiral Sir A.B. Cunningham
    Captain D.B. Fisher.
    HMS Barham, Flagship of Rear-Admiral 1st Battle Squadron, Rear-Admiral H.B.Rawlings
    Captain G.C. Cooke
    HMS Valiant, Captain C.E. Morgan.

Aircraft Carriers
    HMS Formidable, Flagship Rear-Admiral(Air), Rear-Admiral D.W. Boyd
    Captain A.W. La T. Bisset.

Cruisers
    HMS Orion, Flagship of Vice-Admiral Light Forces (VALF),
    Vice-Admiral H.D.Pridham-Whippell;
    Captain G.R.B. Back.
    HMS Ajax, Captain E.D.B.McCarthy.
    HMAS Perth, Captain Sir P.W. Bowyer-Smyth
    HMS Gloucester, Captain H.A. Rowley.

Destroyers
    14th Destroyer Flotilla
        HMS Jervis, Captain P.J. Mack.
        HMS Janus, Lieutenant L.R.P. Lawford.
        HMS Mohawk, Commander J.W.M. Eaton.
        HMS Nubian, Commander R.W. Ravenhill.

10th Destroyer Flotilla
        HMAS Stuart, Captain H.M.L. Waller, RAN.
        HMS Greyhound, Commander W.R. Marshall-A’Deane.
        HMS Griffin, Lieutenant-Commander J. Lee-Barber.

2nd Destroyer Flotilla
        HMS Ilex, Captain H.St.L. Nicholson.
        HMS Hasty, Lieutenant-Commander L.R.K. Tyrwhitt.
        HMS Hereward, Lieutenant T.F.P.U. Page.
        HMS Havock, Lieutenant G.R.G. Watkins.
        HMS Hotspur, Lieutenant-Commander C.P.F. Brown.
        HMAS Vendetta
            (Returned to Alexandria, Egypt, with engine trouble after the engagement off Gavdo Island.

Primary Source
Ships.co.uk web site