Cambridgeshire: Wisbech South division, after the resignation of Independent councillor Peter Lagoda, who was originally elected for the UK Independence Party. Term ends 2017.
Newark and Sherwood: Beacon ward, after the death of Conservative councillor Marika Tribe. As her term was due to end on 7 May, there will be no byelection.
Dates for byelections
Cambridgeshire: The byelection for Wisbech South division will be held on 4 June.
Wyre Forest: The election in Areley Kings and Riverside ward, which was postponed after the death of the Health Concern candidate, will take place on Tuesday 9 June.
Tower Hamlets: Following the election court judgment, the Secretary of State has appointed two new Commissioners and is considering further directions which would allow the commissioners full power to direct the council. Meanwhile Oliur Rahman has stepped down as acting Mayor (due to conflict with his civil service job) and been replaced by Rabina Khan, who will also be a candidate for the full time role in the 11 June byelection.