The investment manager has bought the two office blocks from Harbert for just over £40m.
Palm Capital has bought the Zurich Centre on Solent Business Park in Fareham as well as Point 3 at Opus 40 in Warwick.
The Zurich Centre comprises two 100,000 sq ft buildings. Opus 40 is 88,000 sq ft and is currently the headquarters of Telent Ltd.
Palm Capital was represented by Knight Frank.
Harbert was advised by BNP Paribas Real Estate.