diff --git a/client/components/main/globalSearch.js b/client/components/main/globalSearch.js
index 154356d2d..a251fda04 100644
--- a/client/components/main/globalSearch.js
+++ b/client/components/main/globalSearch.js
@@ -243,6 +243,7 @@ BlazeComponent.extendComponent({
       status: {
         'predicate-archived': 'archived',
         'predicate-all': 'all',
+        'predicate-open': 'open',
         'predicate-ended': 'ended',
         'predicate-public': 'public',
         'predicate-private': 'private',
@@ -256,6 +257,11 @@ BlazeComponent.extendComponent({
         'predicate-description': 'description',
         'predicate-checklist': 'checklist',
         'predicate-attachment': 'attachment',
+        'predicate-start': 'startAt',
+        'predicate-end': 'endAt',
+        'predicate-due': 'dueAt',
+        'predicate-assignee': 'assignees',
+        'predicate-member': 'members',
       },
     };
     const predicateTranslations = {};
@@ -423,13 +429,22 @@ BlazeComponent.extendComponent({
               value = predicateTranslations.status[value];
             }
           } else if (operator === 'has') {
+            let negated = false;
+            const m = value.match(reNegatedOperator);
+            if (m) {
+              value = m.groups.operator;
+              negated = true;
+            }
             if (!predicateTranslations.has[value]) {
               this.parsingErrors.push({
                 tag: 'operator-has-invalid',
                 value,
               });
             } else {
-              value = predicateTranslations.has[value];
+              value = {
+                field: predicateTranslations.has[value],
+                exists: !negated,
+              };
             }
           } else if (operator === 'limit') {
             const limit = parseInt(value, 10);
@@ -597,6 +612,10 @@ BlazeComponent.extendComponent({
       predicate_due: TAPi18n.__('predicate-due'),
       predicate_created: TAPi18n.__('predicate-created'),
       predicate_modified: TAPi18n.__('predicate-modified'),
+      predicate_start: TAPi18n.__('predicate-start'),
+      predicate_end: TAPi18n.__('predicate-end'),
+      predicate_assignee: TAPi18n.__('predicate-assignee'),
+      predicate_member: TAPi18n.__('predicate-member'),
     };
 
     text = `# ${TAPi18n.__('globalSearch-instructions-heading')}`;
diff --git a/i18n/en.i18n.json b/i18n/en.i18n.json
index 13a6849c1..cc23a9a37 100644
--- a/i18n/en.i18n.json
+++ b/i18n/en.i18n.json
@@ -909,6 +909,7 @@
   "operator-has": "has",
   "operator-limit": "limit",
   "predicate-archived": "archived",
+  "predicate-open": "open",
   "predicate-ended": "ended",
   "predicate-all": "all",
   "predicate-overdue": "overdue",
@@ -922,6 +923,10 @@
   "predicate-attachment": "attachment",
   "predicate-description": "description",
   "predicate-checklist": "checklist",
+  "predicate-start": "start",
+  "predicate-end": "end",
+  "predicate-assignee": "assignee",
+  "predicate-member": "member",
   "predicate-public": "public",
   "predicate-private": "private",
   "operator-unknown-error": "%s is not an operator",
@@ -954,7 +959,7 @@
   "globalSearch-instructions-status-ended": "`__operator_status__:__predicate_ended__` - cards with an end date.",
   "globalSearch-instructions-status-public": "`__operator_status__:__predicate_public__` - cards only in public boards.",
   "globalSearch-instructions-status-private": "`__operator_status__:__predicate_private__` - cards only in private boards.",
-  "globalSearch-instructions-operator-has": "`__operator_has__:field` - where *field* is one of `__predicate_attachment__`, `__predicate_checklist__` or `__predicate_description__`",
+  "globalSearch-instructions-operator-has": "`__operator_has__:field` - where *field* is one of `__predicate_attachment__`, `__predicate_checklist__`, `__predicate_description__`, `__predicate_start__`, `__predicate_due__`, `__predicate_end__`, `__predicate_assignee__` or `__predicate_member__`",
   "globalSearch-instructions-operator-sort": "`__operator_sort__:sort-name` - where *sort-name* is one of `__predicate_due__`, `__predicate_created__` or `__predicate_modified__`.",
   "globalSearch-instructions-operator-limit": "`__operator_limit__:n` - where *n* is the number of cards to be displayed per page expressed as a positive integer.",
   "globalSearch-instructions-notes-1": "Multiple operators may be specified.",
diff --git a/server/publications/cards.js b/server/publications/cards.js
index 062f10e2c..4197fd826 100644
--- a/server/publications/cards.js
+++ b/server/publications/cards.js
@@ -518,14 +518,33 @@ Meteor.publish('globalSearch', function(sessionId, queryParams) {
 
     if (queryParams.has.length) {
       queryParams.has.forEach(has => {
-        if (has === 'description') {
-          selector.description = { $exists: true, $nin: [null, ''] };
-        } else if (has === 'attachment') {
-          const attachments = Attachments.find({}, { fields: { cardId: 1 } });
-          selector.$and.push({ _id: { $in: attachments.map(a => a.cardId) } });
-        } else if (has === 'checklist') {
-          const checklists = Checklists.find({}, { fields: { cardId: 1 } });
-          selector.$and.push({ _id: { $in: checklists.map(a => a.cardId) } });
+        switch (has.field) {
+          case 'attachment':
+            const attachments = Attachments.find({}, { fields: { cardId: 1 } });
+            selector.$and.push({ _id: { $in: attachments.map(a => a.cardId) } });
+            break;
+          case 'checklist':
+            const checklists = Checklists.find({}, { fields: { cardId: 1 } });
+            selector.$and.push({ _id: { $in: checklists.map(a => a.cardId) } });
+            break;
+          case 'description':
+          case 'startAt':
+          case 'dueAt':
+          case 'endAt':
+            if (has.exists) {
+              selector[has.field] = { $exists: true, $nin: [null, ''] };
+            } else {
+              selector[has.field] = { $in: [null, ''] };
+            }
+            break;
+          case 'assignees':
+          case 'members':
+            if (has.exists) {
+              selector[has.field] = { $exists: true, $nin: [null, []] };
+            } else {
+              selector[has.field] = { $in: [null, []] };
+            }
+            break;
         }
       });
     }