The yields for the benchmark 2026 note and the 2015 paper were each down 4 basis points at 8.155% and 6.05% respectively.
By 09:18, the rand was trading R0.22 firmer at R10.3375 against the dollar compared with Friday's close at R10.3600.
The local currency is on track for a 22% loss against the dollar this year, with sentiment being buffeted for most of 2013 by strikes that hit output in the key mining and manufacturing sectors.
The rand hit a two-week trough of R10.4750/$ last week, as investors sold high yielding but riskier emerging market assets in the wake of the US Federal Reserve's decision to begin scaling back its stimulus in January.
The bank's $85bn a month asset purchases have been a key source of dollar inflows into emerging markets.