diff --git a/CHANGELOG.md b/CHANGELOG.md
index 79b78076f..d3a41eb09 100644
--- a/CHANGELOG.md
+++ b/CHANGELOG.md
@@ -35,6 +35,8 @@ This project adheres to [Semantic Versioning](https://semver.org/spec/v2.0.0.htm
 - The `WithSpan` method of the `Tracer` interface.
    The functionality this method provided was limited compared to what a user can provide themselves.
    It was removed with the understanding that if there is sufficient user need it can be added back based on actual user usage. (#1043)
+- The `RegisterSpanProcessor` and `UnregisterSpanProcessor` functions.
+   These were holdovers from an approach prior to the TracerProvider design. They were not used anymore. (#1077)
 
 ### Fixed
 
diff --git a/sdk/trace/provider.go b/sdk/trace/provider.go
index 2e367a1cd..82a67e2cc 100644
--- a/sdk/trace/provider.go
+++ b/sdk/trace/provider.go
@@ -135,8 +135,8 @@ func (p *Provider) RegisterSpanProcessor(s SpanProcessor) {
 
 // UnregisterSpanProcessor removes the given SpanProcessor from the list of SpanProcessors
 func (p *Provider) UnregisterSpanProcessor(s SpanProcessor) {
-	mu.Lock()
-	defer mu.Unlock()
+	p.mu.Lock()
+	defer p.mu.Unlock()
 	new := make(spanProcessorMap)
 	if old, ok := p.spanProcessors.Load().(spanProcessorMap); ok {
 		for k, v := range old {
diff --git a/sdk/trace/span_processor.go b/sdk/trace/span_processor.go
index 40c9fa386..efe3eb2bd 100644
--- a/sdk/trace/span_processor.go
+++ b/sdk/trace/span_processor.go
@@ -16,7 +16,6 @@ package trace
 
 import (
 	"sync"
-	"sync/atomic"
 
 	export "go.opentelemetry.io/otel/sdk/export/trace"
 )
@@ -39,43 +38,3 @@ type SpanProcessor interface {
 }
 
 type spanProcessorMap map[SpanProcessor]*sync.Once
-
-var (
-	mu             sync.Mutex
-	spanProcessors atomic.Value
-)
-
-// RegisterSpanProcessor adds to the list of SpanProcessors that will receive sampled
-// trace spans.
-func RegisterSpanProcessor(e SpanProcessor) {
-	mu.Lock()
-	defer mu.Unlock()
-	new := make(spanProcessorMap)
-	if old, ok := spanProcessors.Load().(spanProcessorMap); ok {
-		for k, v := range old {
-			new[k] = v
-		}
-	}
-	new[e] = &sync.Once{}
-	spanProcessors.Store(new)
-}
-
-// UnregisterSpanProcessor removes from the list of SpanProcessors the SpanProcessor that was
-// registered with the given name.
-func UnregisterSpanProcessor(s SpanProcessor) {
-	mu.Lock()
-	defer mu.Unlock()
-	new := make(spanProcessorMap)
-	if old, ok := spanProcessors.Load().(spanProcessorMap); ok {
-		for k, v := range old {
-			new[k] = v
-		}
-	}
-	if stopOnce, ok := new[s]; ok && stopOnce != nil {
-		stopOnce.Do(func() {
-			s.Shutdown()
-		})
-	}
-	delete(new, s)
-	spanProcessors.Store(new)
-}