The Central bowlers ripped through the Te Puke batting order, with English player/coach Tahir Afridi taking four wickets at a cost of just four runs.
Jamie Davies was a shining light at one end, posting 44 runs, as Te Puke were removed for 91.
Central then backed up that victory with a quick win over the Indians.
The Indians posted 68 all out before Central chased that score down in about four overs, led by captain Trembath with a fast 56 not out.
Central bowler Vaughan Blanchard also took five wickets.
"It is good to get a couple of positive results to start the [T20] season," captain Trembath said. "I said to the boys before we started on Saturday, 'let's retain the trophy'."
The only other teams to record two wins on Saturday were Greerton and Mount Maunganui. The next round of the Baywide T20 competition will be held on November 15 at Fergusson Park in Tauranga. The premier clubs will continue their Bay Cup campaigns this weekend.
Baywide T20 results on Saturday:
Round one:
BOP Indians 97/5 (Charles Williams 2/9) lost to Eves Realty Greerton 98/1 (C Williams 58no)
Tauranga Boys' College 124/6 (Gareth Wallace 61; Ben Christensen 4/16) lost to Element IMF Cadets 125/6 (B Christensen 69no; T Wakelin 2/13)
Carrus Mount Maunganui 141/9 (Ben Guild 33; J Whiteman 3/31) defeated Whakatane United 65 (Alex Yates 25; Dan Hill 3/2)
Central 160/6 (Jason Trembath 89) defeated City Sports Bar Te Puke 91 (Jamie Davies 44; Tahir Afridi 4/4)
Round two:
City Sports Bar Te Puke 182/6 (Stephen Crossan 100no) defeated Whakatane United 120 (J Barrett 62; Josh Dwight 3/15)
Tauranga Boys' College 91/9 (Cam Neal 3/14) lost to Eves Realty Greerton 95/3 (C Neal 46no)
Carrus Mount Maunganui 142/8 (B Guild 55) defeated Element IMF Cadets 116/9 (Tom Sole 29no)
BOP Indians 68 lost to Central 69/1