[1][2] On the London Assembly, Jones's prime areas of interest were transport, housing and planning, and policing, "with a strong emphasis on sustainability and localism".
[1] In addition to her period as deputy mayor, Jones served as Chair of London Food, Green Transport Advisor, and Road Safety Ambassador.
[1] In the 2000 election, Jones won a place in the inaugural London Assembly as part of a three-strong Green Group, including Councillor Darren Johnson AM and Victor Anderson, who resigned in March 2003 and was replaced by Noel Lynch for the remainder of the term.
[10] As a London Assembly Member, Jenny Jones promoted the issues of road safety, food, sustainable transport, social justice and the police and civil liberties.
[23] In the 2005 general election, Jones stood in the Dulwich and West Norwood parliamentary constituency, coming fourth with 2,741 votes (6.5%).
[25] In March 2011, Jones was selected as the Green Party's candidate for the 2012 London Mayoral election winning 67% of the votes against prominent Green Party members Dr Shahrar Ali and Farid Bakht, stating "At this time of savage cuts to essential services, London needs a Mayor who will create a fairer city and reduce the gap between rich and poor.
These are hard times for people who care about quality services, local businesses, and protecting the most vulnerable members of our communities.
I promise to make fighting cuts to housing benefit, the NHS and youth services a key part of my campaign to be Mayor.
[28] In her statement of policy for the 2012 election, Jones proposes several ideas to bring "a renaissance of micro, small and medium businesses" in order to spread "wealth to all Londoners", seeking "a financial services sector that works for them".
[32] Jones cited the Transatlantic Trade and Investment Partnership and EU policies of austerity as part of a measure to deal with Greece's national debt imposed by the European troika as reasons to support Brexit.
[30] Jones supports calls by the New Economics Foundation to introduce a 10:1 pay ratio, whereby the highest earner in a company or institution should earn no more than 10 times the lowest paid employee.
[30][36] Jones's policy indicates that, if elected, this would be instigated in "City Hall, Transport for London, the fire brigade and the police",[37] and she claims "more equal societies tend to be happier and healthier as well as experiencing lower levels of violent crime.
One fifth of people became homeless just because their insecure tenancy ended, another fifth because they have had to move out of their parents’ home into the incredibly expensive rental market.
"[43] In her campaign for mayor, Jones has spoken against the inflationary effects of certain businesses, stating, "we want to change the housing market from a playground for speculative investment to a source of secure, affordable homes".
[48] Jones later said that the comment was "not an entirely serious suggestion as I don't have the power to do that" and reiterated that a ban on men leaving their house was not Green Party policy.
[52] Jones then served as a member of the MPA's replacement body, the London Assembly Police and Crime Committee.
"[54] After herself being kettled at a students demonstration, Jones was vociferously critical of this police tactic, telling the BBC the police used kettling to "imprison peaceful campaigners and have shown they can't be trusted with such a powerful tactic", suggesting "The Met's reputation sinks even further every time they abuse their powers and it's time to stop this particular mistreatment".
Jones has been under surveillance by the police's "domestic extremism" unit from 2001 until 2012, including the time during her attempt to become London's mayor.
[60] In a written statement Jones said, "we know that cycle safety is the big problem which puts Londoners off jumping on their bikes.
There are a growing number of deaths and injuries of cyclists and trying to cover that up by issuing factually inaccurate statements won’t change the reality," continuing, "We urgently need to fix the most dangerous junctions and reverse the Mayor’s policy of giving priority to motorised traffic.
[61] At Mayor's question time, Jones highlighted a "promise" Johnson had made in 2008 to make all new buses hybrid by 2012 when in reality less than 10% had met this criterion.
[63] Jones supported the congestion charge as a way to lower pollution and road casualties and spoke against the mayor's cancellation of the Western extension, arguing that it made London dirtier, more crowded and less safe.