Chasing a modest target, Liton struck eight fours as he took the excitement out of the game in a 77-run opening stand.
Naim, who replaced the rested Tamim Iqbal, made 33 runs before he became the only batsman to be dismissed in Bangladesh's innings as Tinashe Kamunhukamwe took the catch off Chris Mpofu at mid-wicket.
Soumya Sarkar remained unbeaten on 20 and finished the game off alongside Liton with a single from Mpofu as Bangladesh reached their target with 25 balls to spare.
Bangladesh captain Mahmudullah Riyad heaped praise on Liton for his consistent performance throughout the series.
"The way we played is pleasing to see. Especially Liton has batted outstandingly well. It shows his maturity and hunger," he said.
=========================================== SCOREBOARD =========================================== Zimbabwe innings =========================================== T. Kamunhukamwe c Mushfiqur b Al-Amin 10 B. Taylor not out 59 C. Ervine c Soumya b Afif 29 S. Williams st Mushfiqur b Mahedi 3 S. Raza c Al-Amin b Saifuddin 12 R. Mutumbami c Soumya b Al-Amin 1 T. Mutombodzi c Naim b Mustafizur 3 W. Madhevere c Naim b Mustafizur 0 C. Mumba not out 1 Extras: (lb1) 1 =========================================== Total: (7 wkts, 20 overs) 119 ===========================================
Did not Bat: C. Mpofu, C. Tshuma
Fall of wickets: 1-12 (Kamunhukamwe), 2-69 (Ervine), 3-76 (Williams), 4-96 (Raza), 5-97 (Mutumbami), 6-108 (Mutombodzi), 7-113 (Madhevere)
Bowling: Mustafizur 4-0-25-2, Saifuddin 4-0-30-1, Al-Amin 4-0-22-2,
Hasan 4-0-25-0, Mahedi 3-0-14-1, Afif 1-0-2-1
=========================================== Bangladesh innings =========================================== Liton Das not out 60 M. Naim c Kamunhukamwe b Mpofu 33 Soumya Sarkar not out 20 Extras: (b1 lb2, w4) 7 =========================================== Total: (one wkt; 15.5 overs) 120 ===========================================
Did not bat: Mushfiqur Rahim, Mahmudullah Riyad, Mahedi Hasan, Afif Hossain, Mohammad Saifuddin, Mustafizur Rahman, Al-Amin Hossain, Hasan Mahmud
Fall of wickets: 1-77 (Naim)
Bowling: Madhevere 3-0-20-0, Mpofu 3.5-0-27-1(w1), Mumba 3-0-26-0, Tshuma 1-0-10-0 (w1), Williams 3-0-16-0(w1), Raza 2-0-18-0(w1)
Result: Bangladesh win by nine wickets
Series Result: Bangladesh win series by 2-0
Toss: Bangladesh
Umpires: Gazi Sohel (BAN), Masudur Rahman (BAN)
TV Umpires: Tanvir Ahmed (BAN)
Match Referee: Jeff Crowe (NZ).