diff --git a/qiskit_experiments/curve_analysis/curve_analysis.py b/qiskit_experiments/curve_analysis/curve_analysis.py
index bce1fc1866..41f46244de 100644
--- a/qiskit_experiments/curve_analysis/curve_analysis.py
+++ b/qiskit_experiments/curve_analysis/curve_analysis.py
@@ -322,10 +322,15 @@ def _objective(_params):
             ys = []
             for model in models:
                 sub_data = curve_data.get_subset_of(model._name)
+                with np.errstate(divide="ignore"):
+                    # Ignore numpy runtime warning.
+                    # Zero y_err point introduces infinite weight,
+                    # but this should be managed by LMFIT.
+                    weights = 1.0 / sub_data.y_err if valid_uncertainty else None
                 yi = model._residual(
                     params=_params,
                     data=sub_data.y,
-                    weights=1.0 / sub_data.y_err if valid_uncertainty else None,
+                    weights=weights,
                     x=sub_data.x,
                 )
                 ys.append(yi)
diff --git a/releasenotes/notes/suppress-runtime-warning-a741dc96f6a0ce7a.yaml b/releasenotes/notes/suppress-runtime-warning-a741dc96f6a0ce7a.yaml
new file mode 100644
index 0000000000..102f5bfcd4
--- /dev/null
+++ b/releasenotes/notes/suppress-runtime-warning-a741dc96f6a0ce7a.yaml
@@ -0,0 +1,8 @@
+---
+other:
+  - |
+    NumPy runtime warning for zero division is suppressed in :class:`.CurveAnalysis`.
+    This warning could occur in the edge case where the experiment data
+    may contain data point with zero uncertainty.
+    Such data point is safely ignored by LMFIT, since it may apply infinite fit weight.
+    This runtime warning suppression makes standard error cleaner.