diff --git a/src/tags/case.ts b/src/tags/case.ts
index bf940cafde..223701de69 100644
--- a/src/tags/case.ts
+++ b/src/tags/case.ts
@@ -35,7 +35,6 @@ export default class extends Tag {
         })
       })
       .on('tag:else', () => {
-        p = []
         elseCount++
         p = this.elseTemplates
       })
diff --git a/src/tags/if.ts b/src/tags/if.ts
index 779b7e58b8..c42833fdea 100644
--- a/src/tags/if.ts
+++ b/src/tags/if.ts
@@ -13,10 +13,16 @@ export default class extends Tag {
         value: new Value(tagToken.args, this.liquid),
         templates: (p = [])
       }))
-      .on('tag:elsif', (token: TagToken) => this.branches.push({
-        value: new Value(token.args, this.liquid),
-        templates: (p = [])
-      }))
+      .on('tag:elsif', (token: TagToken) => {
+        if (elseCount > 0) {
+          p = []
+          return
+        }
+        this.branches.push({
+          value: new Value(token.args, this.liquid),
+          templates: (p = [])
+        })
+      })
       .on('tag:else', () => {
         elseCount++
         p = this.elseTemplates
diff --git a/src/tags/unless.ts b/src/tags/unless.ts
index 11a798e86c..160f71c8d1 100644
--- a/src/tags/unless.ts
+++ b/src/tags/unless.ts
@@ -13,11 +13,17 @@ export default class extends Tag {
         test: isFalsy,
         templates: (p = [])
       }))
-      .on('tag:elsif', (token: TagToken) => this.branches.push({
-        value: new Value(token.args, this.liquid),
-        test: isTruthy,
-        templates: (p = [])
-      }))
+      .on('tag:elsif', (token: TagToken) => {
+        if (elseCount > 0) {
+          p = []
+          return
+        }
+        this.branches.push({
+          value: new Value(token.args, this.liquid),
+          test: isTruthy,
+          templates: (p = [])
+        })
+      })
       .on('tag:else', () => {
         elseCount++
         p = this.elseTemplates
diff --git a/test/e2e/issues.spec.ts b/test/e2e/issues.spec.ts
index ca9ebad3ed..a73257c999 100644
--- a/test/e2e/issues.spec.ts
+++ b/test/e2e/issues.spec.ts
@@ -477,4 +477,12 @@ describe('Issues', function () {
     '{% else %}don\'t show{% endif %}', {})
     expect(result).toEqual('show this')
   })
+  it('#672 Should not render an elseif after an else branch', () => {
+    const engine = new Liquid()
+    const result = engine.parseAndRenderSync('{% if false %}don\'t show' +
+      '{% else %}show' +
+      '{% elsif true %}don\'t show' +
+    '{% endif %}', {})
+    expect(result).toEqual('show')
+  })
 })
diff --git a/test/integration/tags/unless.spec.ts b/test/integration/tags/unless.spec.ts
index e2c80af884..5ca0446a69 100644
--- a/test/integration/tags/unless.spec.ts
+++ b/test/integration/tags/unless.spec.ts
@@ -62,6 +62,14 @@ describe('tags/unless', function () {
     '{% endunless %}', {})
     expect(html).toEqual('')
   })
+  it('should not render an elseif after an else branch', () => {
+    const engine = new Liquid()
+    const result = engine.parseAndRenderSync('{% unless true %}don\'t show' +
+      '{% else %}show' +
+      '{% elsif true %}don\'t show' +
+    '{% endunless %}', {})
+    expect(result).toEqual('show')
+  })
 
   describe('sync support', function () {
     it('should render else when predicate yields true', function () {