diff --git a/CHANGELOG.md b/CHANGELOG.md
index f4a63defd60..09c20979e87 100644
--- a/CHANGELOG.md
+++ b/CHANGELOG.md
@@ -56,6 +56,8 @@ release.
   ([#3097](https://github.com/open-telemetry/opentelemetry-specification/pull/3097))
 - Clarify stability requirements of semantic conventions
   ([#3225](https://github.com/open-telemetry/opentelemetry-specification/pull/3225))
+- BREAKING: Change span statuses for gRPC server spans.
+  ([#3333](https://github.com/open-telemetry/opentelemetry-specification/pull/3333))
 
 ### Compatibility
 
diff --git a/specification/trace/semantic_conventions/rpc.md b/specification/trace/semantic_conventions/rpc.md
index f5d6e823457..b70a97fa77b 100644
--- a/specification/trace/semantic_conventions/rpc.md
+++ b/specification/trace/semantic_conventions/rpc.md
@@ -206,7 +206,31 @@ For remote procedure calls via [gRPC][], additional conventions are described in
 
 ### gRPC Status
 
-The [Span Status](../api.md#set-status) MUST be left unset for an `OK` gRPC status code, and set to `Error` for all others.
+The table below describes when
+the [Span Status](../api.md#set-status) MUST be set
+to `Error` or remain unset
+depending on the [gRPC status code](https://github.com/grpc/grpc/blob/v1.33.2/doc/statuscodes.md)
+and [Span Kind](../api.md#spankind).
+
+| gRPC Status Code | `SpanKind.SERVER` Span Status | `SpanKind.CLIENT` Span Status |
+|---|---|---|
+| OK | unset | unset |
+| CANCELLED | unset | `Error` |
+| UNKNOWN | `Error` | `Error`  |
+| INVALID_ARGUMENT | unset | `Error` |
+| DEADLINE_EXCEEDED | `Error` | `Error` |
+| NOT_FOUND | unset | `Error` |
+| ALREADY_EXISTS | unset | `Error` |
+| PERMISSION_DENIED | unset | `Error` |
+| RESOURCE_EXHAUSTED | unset| `Error` |
+| FAILED_PRECONDITION | unset | `Error` |
+| ABORTED | unset | `Error` |
+| OUT_OF_RANGE | unset | `Error` |
+| UNIMPLEMENTED | `Error` | `Error` |
+| INTERNAL | `Error` | `Error` |
+| UNAVAILABLE | `Error` | `Error` |
+| DATA_LOSS | `Error` | `Error` |
+| UNAUTHENTICATED | unset | `Error` |
 
 ### gRPC Request and Response Metadata