Widodo (often referred to as Jokowi) was backed by the following coalition during his 2014 presidential campaign:

Indonesian Democratic Party-Struggle (PDI-P)
National Awakening Party (PKB)
NasDem Party
People's Conscience Party (Hanura)

In August 2015 and July 2016 Widodo reshuffled his cabinet. For details read the following articles:

Political News Indonesia: Joko Widodo Reshuffles Cabinet
Update Cabinet Reshuffle Indonesia: Who Are the New Ministers?
 Remarkable: Indonesian Energy Minister Dismissed over US Citizenship
Politics Indonesia: Arcandra Tahar & Ignasius Jonan Back

Cabinet of Indonesia (2014-2019)

President Joko Widodo
Vice President Jusuf Kalla

Ministries

Political, Legal and Security Affairs Wiranto
Economy  Darmin Nasution
Human Development and Culture  Puan Maharani
State Secretary  Pratikno
Home Affairs  Tjahjo Kumolo
Foreign Affairs  Retno Lestari Priansari Marsudi
Defense  Ryamizard Ryacudu
Justice and Human Rights  Yasonna H. Laoly
Finance  Sri Mulyani Indrawati
Energy and Mineral Resources  Ignasius Jonan
Industry  Airlangga Hartarto
Trade  Enggartiasto Lukita
Agriculture  Amran Sulaiman
Forestry and Environment Siti Nurbaya
Transportation  Budi Karya Sumadi
Fishery and Maritime  Susi Pudjiastuti
Manpower and Transmigration  Hanif Dhakiri
Maritime Affairs Luhut Binsar Pandjaitan
Health  Nila F. Moeloek
Education and Culture  Muhajir Effendi
Social Affairs  Khofifah Indar Parawansa
Religious Affairs   Lukman Hakim Saifuddin
Tourism Arief Yahya
Communication and Information  Rudiantara
Research and Technology  M. Nasir
Cooperatives and Small & Medium Enterprises Anak Agung Gede Ngurah Puspayoga
Land & Spacial Planning Ferry Mursyidan Baldan
Woman Empowerment & Children Protection Yohana S. Yambise
State Administrative Reform  Asman Abnur
Development of Disadvantaged Regions  Eko Putro Sanjoyo
National Development Planning  Bambang Brodjonegoro
State-Owned Enterprises  Rini M. Soemarno
Public Works & Housing  Basuki Hadimuljono
Youth and Sports Affairs  Imam Nahrawi