Dan Hollinshead kicked a penalty, but Taranaki replied immediately with a sweeping move finished off by Blade Thomson. Winger Siaosi Iongi was sin binned for 10 minutes for his part in slowing down the play, as things got worse quickly for the hapless Steamers.
Hollinshead set up a good attacking platform, well supported by Bardoul and Nathan Harris, but another penalty was conceded.
Taranaki showed their attacking skills to score a runaway try as the Steamers defence opened up.
Additional tries to James Broadhurst and Charlie Ngatai meant the game was well and truly over by halftime with Taranaki up 34-3.
The Steamers started the second spell with more purpose. In their best period 15 minutes in, they put 13 accurate phases together before Joe Edwards was driven over the line. The decision went against them in a tough call from the TMO.
Nemani sparked plenty of good moments but often his clean breaks ended with the ball turned over in contact, but at least the defensive holes were patched up. Marty McKenzie scored late in the game to finish off the Steamers.
They have two must-win games to come this week, away to fellow ITM Championship sides Manawatu on Wednesday and North Harbour in Rotorua on Sunday.
Taranaki 41 (Codey Rei, Blade Thomson, Waisake Naholo, James Broadhurst, Charlie Ngatai, Marty McKenzie tries; McKenzie 4 cons, pen) Bay of Plenty 3 (Dan Hollinshead pen).