The Labour Party Manifesto says:

“We will initiate a review into reforming council tax and business rates and consider new options such as a land value tax, to ensure local government has sustainable funding for the long term.”

The Liberal Democrats also support the policy. Their 2017 manifesto says:

4.2 Fair taxes:  In order to balance the books and build a sustainable economy for the future we must ensure that everyone pays their fair share. Liberal Democrats have a long- standing commitment to fairer taxation, and in government we raised the personal allowance for Income Tax. It remains our ambition to make taxes fairer and simpler, to help those on low and middle incomes, and to ensure that those on the highest incomes, and large international companies, make a fair contribution. We will: …...

For more information about the appearance of Land Value Taxation in the 2017 election see here.

The CEJ has been engaging with a number of figures to promote the idea of using land rent for public revenue. Leading political figures who have been advocating LVT recently include Jeremy Corbyn, Leader of the Labour Party, John McDonnell Lab MP and Shadow Chancellor, Vince Cable MP, Leader of the LibDems and Nick Boles Cons MP. Andy Burnham Mayor of Manchester included LVT in his 2015 Labour Party leadership bid. Senior members of the Green Party,  MP Caroline Lucas, Baroness Jenny Jones and MEP and economic spokesperson Molly Scott Cato all support the policy and have spoken of its advantages. This cross-party support for the policy has led in December 2017 to the formation of an All Party Parliamentary Group (APPG) on land value capture.

In December 2017 the Tony Blair Institute for Global Change published a report on UK housing which included land value tax as one of the principle policy suggestions

Many think tanks on the left of the political spectrum including the Fabians, CLASS, Compass, and Progress  have published literature supporting annual Land Value Tax. From the opposite side of the political spectrum The Institute of Economic Affairs the and  Adam Smith Institute also recognise the efficiency of this form of collecting public revenue. The Mirrlees Review, a comprehensive review of the British tax system produced by the Institute of Fiscal Studies, explains fully the benefits of shifting taxation onto location values. For a full review of support for taxing land values from the right of the political spectrum see this review by Paul Knight.

In recent times there has been much discussion in the press about LVT.  The Financial Times has carried articles promoting LVT by Nick Boles (now a Conservative Minister), Sir Sam Brittan and Martin Wolf.  Similarly The Guardian, The New Statesman, The Economist, Tribune and other publications have published articles supporting LVT by George Monbiot (environmentalist), Andy Wightman (Scottish land reform campaigner and now MSP representing the Scottish Green Party), Richard Murphy (Tax Research UK), Will Hutton (political economist and former Chief Exec of The Work Foundation), Merryn Somerset Webb (Editor of Money Week), Phillippe Legrain (economist and author), Larry Elliott (The Guardian’s Economics Editor) and Polly Toynbee (journalist and former BBC Social Affairs Editor). 

The OECD, The World Bank, UN Habitat and other international organisations have drawn attention to the benefits to be gained from adopting LVT.

A number of countries such as Denmark, Estonian, Hong Kong and Taiwan utilise land values to help their economies.  Local Authorities in parts of Australia, New Zealand and North America have all adopted local forms of land value taxation. The map below show countries that have adopted land taxes in various forms with the date of adoption. 

Source: Dye and England (2009) Land value Taxation: Theory, Evidence and Practice, Cambridge, Ma, Lincoln Institute of Land Policy.

Current (2019) Green Party Policy:

Green Party policy Land Value Tax (LVT) EC780 A system of Land Value Taxation will be introduced. The LVT rate will be set at national level, and the tax will be calculated by applying the rate to the capital value of the land itself, not including any buildings etc. built upon it. Local authorities may levy an additional local Land Value Tax once the tax is fully implemented, and, subject to EC792, keep the proceeds locally. All LVT will be collected by local authorities. We will seek to use LVT in the long run to replace other land- and property-based taxes (see HO603).

EC782 Proceeds from national LVT will be distributed to local authorities with the amount based upon the procedure set out in EC792. EC792 Allocation of central funds should include a redistributive element in favour of less well-off areas. A distribution formula that takes into account the capacity of a local authority to raise its own funds should operate in a consistent and non-partisan way at arm’s length from the Treasury.