Jamhuriyar Cuba tana ɗaya daga cikin ƙasashe masu ra'ayin gurguzu na ƙarshe da suka rage a duniya masu bin akidar Marxist-Leninist. An maye gurbin Kundin Tsarin Mulki na 1976, wanda ya bayyana Cuba a matsayin jamhuriya mai ra'ayin gurguzu, da Kundin Tsarin Mulki na 1992, wanda "ra'ayoyin José Martí da ra'ayoyin siyasa da zamantakewar Marx, Engels da Lenin ke jagoranta". Kundin Tsarin Mulki ya bayyana Jam'iyyar Kwaminis ta Cuba a matsayin "jagorancin jagorancin al'umma da na jihar".Sakatare na farko na Jam'iyyar Kwaminis a lokaci guda shi ne Shugaban Majalisar Jiha (Shugaban Cuba) da Shugaban Majalisar Ministoci (wani lokacin ana kiransa Firayim Ministan Cuba). 'Yan majalisun biyu ne Majalisar Majalisar Kasa ta Zaɓe ta Zaɓa.
Shekara ta 1976