The pro-Beijing leader comfortably saw off an opposition attempt to oust him, winning 32 votes to 15 after a fractious and hot-tempered day-long debate.
Many businesses remained closed in the capital, Honiara, ahead of the vote over concerns that violence could erupt again, leading to an eerie calm.
The motion censure was filed by the opposition Social Democrat Party (PSD) and supported by former coalition partner USR-Plus, and the far-right AUR party.
A circular sent to lawmakers Saturday said the session will be held at a later date, after the Health Ministry deemed Parliament a high-risk venue.
The no-confidence motion was introduced by the TDP against the Modi government for "failing" to give Special Status Category to the state.
As Galla termed the division of AP as "undemocratic and unscientific", Naramalli Sivaprasad from TDP passed a remark in Telugu against PM, to which Sitharaman demanded that the Speaker expunge it.
Two days ago, two TDP ministers resigned from the Narendra Modi government following the Centre's refusal to grant Special Category Status to Andhra Pradesh.
Zuma announced his resignation on Wednesday via a televised address after the ruling ANC party threatened to eject him from office via a parliamentary vote of no confidence.