They have lacked a sound forward platform throughout the season but their determination in the loose and their try-scoring ability they now have 31 tries from 10 matches enabled them to win in spite of that disadvantage.
"Anyone who thinks the Lions are easy is wrong. They're a good side," Chiefs captain Liam Messam said. "I'm really proud of the boys. We had our backs against the wall and we came out and produced a performance.
"It's probably not the flashiest performance but it's a win."
Anscombe had the first try of the match in the 22nd minute and with the late tries to Latimer and Ngatai the Chiefs took a 19-3 lead to halftime. Manu's try immediately after halftime was critical, sealing the four-try bonus point and closing down any chance of a Lions' rally.
The Johannesburg-based Lions did score the next try through winger Courtnall Skosan but the Chiefs had the cushion of a big lead and finished strongly with tries to Aki and Nanai-Williams.
The Chiefs' win completed a clean sweep of home victories for New Zealand teams this round after the Blues win over the Queensland Reds and the Crusaders' over the ACT Brumbies.
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Chiefs 38 (Gareth Anscombe, Tanerau Latimer, Charlie Ngatai, Pauliasi Manu, Bundee Aki, Tim Nanai-Williams tries; Gareth Anscombe 3 conversions; Andrew Horrell conversion), Lions 8 (Courtnall Skosan try; Elton Jantjies penalty). HT: 19-3.
AP
This story has been published from the Associated Press wire which uses US spellings