After joining the Ecology Party in 1977, Lambert has held numerous positions, including Co-Chair of the Party Council, Principal Speaker, Chair of the Party Executive, Representative to the Federation of European Green Parties and Political Liaison to the Green Group in the European Parliament. She is currently the party's spokesperson on Migration. Lambert was first elected to the European Parliament in 1999 from the London Region, winning 87,545 votes. She was re-elected in 2004 with 8.4% of the vote and again in 2009 with 10.9% of the vote, and again in 2014. As a Member of the European Parliament, she is or has been a member or substitute of the Employment and Social Affairs Committee, the Civil Liberties, Justice and Home Affairs Committee, the Subcommittee on Human Rights, the Intergroup on Disability and Gay and Lesbian Rights and Delegations to South Asia, Afghanistan, Japan and India. She chaired the South Asia Delegation from 2009–2019. She is Vice-President of the Intergroup on Ageing, the Intergroup on Anti-poverty and the Intergroup on Anti-racism and Diversity. She was Rapporteur on the Parliament's Asylum Report. She was Vice-President of the Greens/European Free Alliance Group of MEPs from 2002 to 2007, in which she is the Spokesperson on Asylum and Refugees. Lambert was also engaged in EU Election Observation missions, including as Chief Observer for the 2018 elections in Sierra Leone. She is an active campaigner for the London Living Wage.
Non-party activism and advisory roles
Outside her work in the Green Party, Lambert is involved in numerous NGOs. Since 1991, she has been a Council Member of Charter 88, the democratic reform NGO, as well as an Executive Supporter and Signatory for Charter 99, described as "an initiative for global democracy". She has been Vice-President of the Waltham Forest Race Equality Council from 1999. She is a Trustee of the Dalit Solidarity Campaign UK. She is also on Advisory Boards of the Work-Life Institute and London Metropolitan University.
Awards
Lambert was named Justice and Human Rights MEP of the Year 2005, the first year these awards were held.
Writings
Lambert has written numerous reports and articles on her areas of interest, especially democracy and human rights, sustainable development, anti-discrimination, social inclusion, minority rights, trade union and workers' issues and asylum and refugee rights. She wrote No Change? No Chance, a book on Green politics, in 1996. Furthermore, she has made a film in 2006, EU4U! Your voice can make a difference!, highlighting the ways young people can make a difference within EU structures.