diff --git a/src/torchmetrics/classification/jaccard.py b/src/torchmetrics/classification/jaccard.py
index c637a8a94b6..bf8e65fc173 100644
--- a/src/torchmetrics/classification/jaccard.py
+++ b/src/torchmetrics/classification/jaccard.py
@@ -168,7 +168,7 @@ def __init__(
         self.average = average
 
     def compute(self) -> Tensor:
-        return _jaccard_index_reduce(self.confmat, average=self.average)
+        return _jaccard_index_reduce(self.confmat, average=self.average, ignore_index=self.ignore_index)
 
 
 class MultilabelJaccardIndex(MultilabelConfusionMatrix):
diff --git a/src/torchmetrics/functional/classification/jaccard.py b/src/torchmetrics/functional/classification/jaccard.py
index d9c70be4169..f06d41290d1 100644
--- a/src/torchmetrics/functional/classification/jaccard.py
+++ b/src/torchmetrics/functional/classification/jaccard.py
@@ -37,6 +37,7 @@
 def _jaccard_index_reduce(
     confmat: Tensor,
     average: Optional[Literal["micro", "macro", "weighted", "none", "binary"]],
+    ignore_index=None,
 ) -> Tensor:
     """Perform reduction of an un-normalized confusion matrix into jaccard score.
 
@@ -64,6 +65,10 @@ def _jaccard_index_reduce(
             num = confmat[:, 1, 1]
             denom = confmat[:, 1, 1] + confmat[:, 0, 1] + confmat[:, 1, 0]
         else:  # multiclass
+            if ignore_index is not None and 0 <= ignore_index <= confmat.shape[0]:
+                cond = torch.arange(confmat.shape[0]) != ignore_index
+                confmat = confmat[cond, :]
+                confmat = confmat[:, cond]
             num = torch.diag(confmat)
             denom = confmat.sum(0) + confmat.sum(1) - num
 
@@ -217,7 +222,7 @@ def multiclass_jaccard_index(
         _multiclass_confusion_matrix_tensor_validation(preds, target, num_classes, ignore_index)
     preds, target = _multiclass_confusion_matrix_format(preds, target, ignore_index)
     confmat = _multiclass_confusion_matrix_update(preds, target, num_classes)
-    return _jaccard_index_reduce(confmat, average=average)
+    return _jaccard_index_reduce(confmat, average=average, ignore_index=ignore_index)
 
 
 def _multilabel_jaccard_index_arg_validation(
@@ -293,7 +298,7 @@ def multilabel_jaccard_index(
         _multilabel_confusion_matrix_tensor_validation(preds, target, num_labels, ignore_index)
     preds, target = _multilabel_confusion_matrix_format(preds, target, num_labels, threshold, ignore_index)
     confmat = _multilabel_confusion_matrix_update(preds, target, num_labels)
-    return _jaccard_index_reduce(confmat, average=average)
+    return _jaccard_index_reduce(confmat, average=average, ignore_index=ignore_index)
 
 
 def jaccard_index(