This stage of "The Skills Imperative 2035" research programme assesses "What skills will be needed most in the labour market of the future?" The approach to addressing this question is to combine detailed forecasts of employment in the jobs of the future together with projections of the skills that will be used in those jobs. This enables the authors to produce estimates of future skills demands. For employment, new labour market projections produced for "The Skills Imperative 2035" programme by the Warwick Institute for Employment Research (IER) and Cambridge Econometrics (CE) are used. These projections provide estimates of the numbers employed in the jobs of the future. The authors use the most detailed occupational employment classification that is available. For skills, there is no systematic and comprehensive assessment of the different skills that are used in employment in the UK. The authors therefore first match information from the US Occupational Information Network (O*NET) -- the primary source of occupational information in the US -- to the occupations the UK Standard Occupational Classification 2020 (UK SOC2020). In total, there are 161 different skill descriptors from O*NET to characterise each of the 412 occupations in UK SOC2020. By combining these occupational skills profiles with information on the occupational composition of employment, the authors are able to identify the skills that are used most intensively in employment today. As the skills required in jobs will not remain the same in the future, the authors then project how skills are likely to change within each occupation between 2020 and 2035, in part based on patterns of how skills have evolved in each occupation between 2010 and 2020. These skills projections are then combined with IER/CE's employment projections to produce estimates of skill requirements in 2035. These skills requirements are a result of both changes in skills utilisation within occupations (i.e. changes in skill requirements within jobs) and changes in skills utilisation between occupations (i.e., changes due to the changing occupational distribution of employment). This report can therefore identify the skills that are likely to be used most intensively in employment in 2035 -- the 'Essential Employment Skills'.