diff --git a/gensim/models/fasttext.py b/gensim/models/fasttext.py
index d2da493ec9..2307b04468 100644
--- a/gensim/models/fasttext.py
+++ b/gensim/models/fasttext.py
@@ -346,7 +346,7 @@ def __init__(self, sentences=None, corpus_file=None, sg=0, hs=0, size=100, alpha
                  max_vocab_size=None, word_ngrams=1, sample=1e-3, seed=1, workers=3, min_alpha=0.0001,
                  negative=5, ns_exponent=0.75, cbow_mean=1, hashfxn=hash, iter=5, null_word=0, min_n=3, max_n=6,
                  sorted_vocab=1, bucket=2000000, trim_rule=None, batch_words=MAX_WORDS_IN_BATCH, callbacks=(),
-                 compatible_hash=True):
+                 compatible_hash=True, max_final_vocab=None):
         """
 
         Parameters
@@ -448,6 +448,12 @@ def __init__(self, sentences=None, corpus_file=None, sg=0, hs=0, size=100, alpha
             Older versions were not 100% compatible due to a bug.
             To use the older, incompatible hash function, set this to False.
 
+        max_final_vocab : int, optional
+            Limits the vocab to a target vocab size by automatically selecting
+            ``min_count```.  If the specified ``min_count`` is more than the
+            automatically calculated ``min_count``, the former will be used.
+            Set to ``None`` if not required.
+
         Examples
         --------
         Initialize and train a `FastText` model:
@@ -472,7 +478,9 @@ def __init__(self, sentences=None, corpus_file=None, sg=0, hs=0, size=100, alpha
         self.wv = FastTextKeyedVectors(size, min_n, max_n, bucket, compatible_hash)
         self.vocabulary = FastTextVocab(
             max_vocab_size=max_vocab_size, min_count=min_count, sample=sample,
-            sorted_vocab=bool(sorted_vocab), null_word=null_word, ns_exponent=ns_exponent)
+            sorted_vocab=bool(sorted_vocab), null_word=null_word, ns_exponent=ns_exponent,
+            max_final_vocab=max_final_vocab,
+        )
         self.trainables = FastTextTrainables(vector_size=size, seed=seed, bucket=bucket, hashfxn=hashfxn)
         self.trainables.prepare_weights(hs, negative, self.wv, update=False, vocabulary=self.vocabulary)
         self.wv.bucket = self.trainables.bucket
diff --git a/gensim/test/test_fasttext.py b/gensim/test/test_fasttext.py
index 3517a355a9..8f691d4608 100644
--- a/gensim/test/test_fasttext.py
+++ b/gensim/test/test_fasttext.py
@@ -866,6 +866,27 @@ def test_sg_hs_against_wrapper(self):
         self.assertFalse((orig0 == model_gensim.wv.vectors[0]).all())  # vector should vary after training
         self.compare_with_wrapper(model_gensim, model_wrapper)
 
+    def test_vocab_pruning(self):
+        """Does the model correctly interpret the max_final_vocab parameter?"""
+        sentences = [
+            ["graph", "system"],
+            ["graph", "system"],
+            ["system", "eps"],
+            ["graph", "system"],
+        ]
+        model = FT_gensim(sentences, size=10, min_count=2, max_final_vocab=2)
+        self.assertEqual(len(model.wv.vocab), 2)
+        self.assertEqual(model.wv.vocab['graph'].count, 3)
+        self.assertEqual(model.wv.vocab['system'].count, 4)
+
+        model = FT_gensim(sentences, size=10, min_count=2, max_final_vocab=1)
+        self.assertEqual(len(model.wv.vocab), 1)
+        self.assertEqual(model.wv.vocab['system'].count, 4)
+
+        model = FT_gensim(sentences, size=10, min_count=4)
+        self.assertEqual(len(model.wv.vocab), 1)
+        self.assertEqual(model.wv.vocab['system'].count, 4)
+
 
 with open(datapath('toy-data.txt')) as fin:
     TOY_SENTENCES = [fin.read().strip().split(' ')]