A 24-hour strike which was due to start at 5pm on Bank Holiday Monday (25 May) has been suspended.
The threat was lifted by the RMT and TSSA trade unions after a revised pay offer from Network Rail.
Brighton and Hove’s main train operator Southern had said that it would not run any services on Tuesday (26 May should the strike go ahead.
It had expected services to be limited on Monday and for some services to be disrupted on Wednesday morning.
Representatives from the ASLEF union were due to meet Southern bosses today to discuss a separate strike threat, also voted for in response to a pay offer.