Malinga, who plays only the shorter versions, was recently included in the highest category of Sri Lankan players with central contracts.
The tour will kick off with a T20 international at the Mahinda Rajapaksa International Cricket Stadium in Hambantota on June 1. The series will feature two T20 games, 5 ODIs and 3 Tests.
T20 Squad: Mahela Jayawardena (C), T M Dilshan, Kumar Sangakkara (W/K), Dinesh Chandimal, Angelo Mathews, Lahiru Thirimanne, Kaushalaya Lokuarchchi, Thisara Perera, Nuwan Kulasekera, Sachithra Senanayake, Lasith Malinga, Chamara Kapugedera, Upul Tharanga, Isuru Udana.
ODI Squad: Mahela Jayawardena (C), T M Dilshan, Kumar Sangakkara, Dinesh Chandimal, Angelo Mathews, Lahiru Thirimanne, Jeevan Mendis, Thisara Perera, Nuwan Kulasekera, Sachithra Senanayake, Lasith Malinga, Rangana Herath, Upul Tharanga, Nuwan Pradeep, Dilhara Fernando.