diff --git a/src/components/views/settings/tabs/room/SecurityRoomSettingsTab.tsx b/src/components/views/settings/tabs/room/SecurityRoomSettingsTab.tsx
index 02bbcfb751..21b132bac7 100644
--- a/src/components/views/settings/tabs/room/SecurityRoomSettingsTab.tsx
+++ b/src/components/views/settings/tabs/room/SecurityRoomSettingsTab.tsx
@@ -324,6 +324,33 @@ export default class SecurityRoomSettingsTab extends React.Component<IProps, ISt
         const state = client.getRoom(this.props.roomId).currentState;
         const canChangeHistory = state.mayClientSendStateEvent('m.room.history_visibility', client);
 
+        const options = [
+            {
+                value: HistoryVisibility.Shared,
+                disabled: !canChangeHistory,
+                label: _t('Members only (since the point in time of selecting this option)'),
+            },
+            {
+                value: HistoryVisibility.Invited,
+                disabled: !canChangeHistory,
+                label: _t('Members only (since they were invited)'),
+            },
+            {
+                value: HistoryVisibility.Joined,
+                disabled: !canChangeHistory,
+                label: _t('Members only (since they joined)'),
+            },
+        ];
+
+        // World readable doesn't make sense for encrypted rooms
+        if (!this.state.encrypted || history === HistoryVisibility.WorldReadable) {
+            options.unshift({
+                value: HistoryVisibility.WorldReadable,
+                disabled: !canChangeHistory,
+                label: _t("Anyone"),
+            });
+        }
+
         return (
             <div>
                 <div>
@@ -334,28 +361,7 @@ export default class SecurityRoomSettingsTab extends React.Component<IProps, ISt
                     name="historyVis"
                     value={history}
                     onChange={this.onHistoryRadioToggle}
-                    definitions={[
-                        {
-                            value: HistoryVisibility.WorldReadable,
-                            disabled: !canChangeHistory,
-                            label: _t("Anyone"),
-                        },
-                        {
-                            value: HistoryVisibility.Shared,
-                            disabled: !canChangeHistory,
-                            label: _t('Members only (since the point in time of selecting this option)'),
-                        },
-                        {
-                            value: HistoryVisibility.Invited,
-                            disabled: !canChangeHistory,
-                            label: _t('Members only (since they were invited)'),
-                        },
-                        {
-                            value: HistoryVisibility.Joined,
-                            disabled: !canChangeHistory,
-                            label: _t('Members only (since they joined)'),
-                        },
-                    ]}
+                    definitions={options}
                 />
             </div>
         );
diff --git a/src/i18n/strings/en_EN.json b/src/i18n/strings/en_EN.json
index 85e8e54258..37ecfa51a8 100644
--- a/src/i18n/strings/en_EN.json
+++ b/src/i18n/strings/en_EN.json
@@ -1396,11 +1396,11 @@
     "Only people who have been invited": "Only people who have been invited",
     "Anyone who knows the room's link, apart from guests": "Anyone who knows the room's link, apart from guests",
     "Anyone who knows the room's link, including guests": "Anyone who knows the room's link, including guests",
-    "Changes to who can read history will only apply to future messages in this room. The visibility of existing history will be unchanged.": "Changes to who can read history will only apply to future messages in this room. The visibility of existing history will be unchanged.",
-    "Anyone": "Anyone",
     "Members only (since the point in time of selecting this option)": "Members only (since the point in time of selecting this option)",
     "Members only (since they were invited)": "Members only (since they were invited)",
     "Members only (since they joined)": "Members only (since they joined)",
+    "Anyone": "Anyone",
+    "Changes to who can read history will only apply to future messages in this room. The visibility of existing history will be unchanged.": "Changes to who can read history will only apply to future messages in this room. The visibility of existing history will be unchanged.",
     "Who can read history?": "Who can read history?",
     "Security & Privacy": "Security & Privacy",
     "Once enabled, encryption cannot be disabled.": "Once enabled, encryption cannot be disabled.",