| Year | Award | Category | Work | Result | Ref. |
| 2008 | British Independent Film Awards | Most Promising Newcomer | The Boy in the Striped Pyjamas | Nominated | |
| 2009 | NSPCC Awards | Young British Performer of the Year | The Boy in the Striped Pyjamas | Nominated | |
| Young Artist Awards | Best Performance in an International Feature Film – Leading Young Performers | The Boy in the Striped Pyjamas | Nominated | |
| 2012 | Critics' Choice Movie Awards | Best Young Performer | Hugo | Nominated | |
| Empire Awards | Best Male Newcomer | Hugo | Nominated | |
| Saturn Awards | Best Performance by a Younger Actor | Hugo | Nominated | |
| Young Artist Awards | Best Performance in a Feature Film – Leading Young Actor | Hugo | Nominated | |
| Young Hollywood Awards | Breakthrough Performance – Male | Hugo | Won | |
| 2013 | Critics' Choice Movie Awards | Best Young Performer | Ender's Game | Nominated | |
| Washington DC Area Film Critics Association Awards | Best Youth Performance | Ender's Game | Nominated | |
| 2014 | British Independent Film Awards | Best Actor | X+Y | Nominated | |
| Saturn Awards | Best Performance by a Younger Actor | Ender's Game | Nominated | |
| 2015 | National Film Awards UK | Best Actor | X+Y | Nominated | |
| 2017 | Teen Choice Awards | Choice Fantasy Movie Actor | Miss Peregrine's Home for Peculiar Children | Nominated | |
| Choice Sci-Fi Movie Actor | The Space Between Us | Nominated | |
| 2020 | Newport Beach Film Festival | Artist of Distinction | Sex Education | Won | |
| NME Awards | Best TV Actor | — | Nominated | |
| 2022 | British Independent Film Awards | Best Ensemble | Flux Gourmet | Nominated | |
| National Comedy Awards | Outstanding Comedy Actor | Sex Education | Won | |