diff --git a/dvc/command/run.py b/dvc/command/run.py
index 3499cf41c..f1ee4d479 100644
--- a/dvc/command/run.py
+++ b/dvc/command/run.py
@@ -44,6 +44,7 @@ class CmdRun(CmdBase):
                 plots_no_cache=self.args.plots_no_cache,
                 live=self.args.live,
                 live_summary=not self.args.live_no_summary,
+                live_report=not self.args.live_no_report,
                 deps=self.args.deps,
                 params=self.args.params,
                 fname=self.args.file,
@@ -165,13 +166,19 @@ def add_parser(subparsers, parent_parser):
         metavar="<path>",
     )
     run_parser.add_argument(
-        "--live", help=argparse.SUPPRESS, metavar="<path>",
+        "--live", help="Declare output as dvclive.", metavar="<path>",
     )
     run_parser.add_argument(
         "--live-no-summary",
         action="store_true",
         default=False,
-        help=argparse.SUPPRESS,
+        help="Signal dvclive logger to not dump latest metrics file.",
+    )
+    run_parser.add_argument(
+        "--live-no-report",
+        action="store_true",
+        default=False,
+        help="Signal dvclive logger to not produce training report.",
     )
     run_parser.add_argument(
         "--file", metavar="<filename>", help=argparse.SUPPRESS,
diff --git a/dvc/env.py b/dvc/env.py
index 5ddcfbc98..ad611f80c 100644
--- a/dvc/env.py
+++ b/dvc/env.py
@@ -4,3 +4,4 @@ DVC_PAGER = "DVC_PAGER"
 DVC_ROOT = "DVC_ROOT"
 DVCLIVE_PATH = "DVCLIVE_PATH"
 DVCLIVE_SUMMARY = "DVCLIVE_SUMMARY"
+DVCLIVE_REPORT = "DVCLIVE_REPORT"
diff --git a/dvc/output/base.py b/dvc/output/base.py
index 75f88797f..8303a6606 100644
--- a/dvc/output/base.py
+++ b/dvc/output/base.py
@@ -9,7 +9,7 @@ from voluptuous import Any
 
 import dvc.prompt as prompt
 from dvc.cache import NamedCache
-from dvc.env import DVCLIVE_PATH, DVCLIVE_SUMMARY
+from dvc.env import DVCLIVE_PATH, DVCLIVE_REPORT, DVCLIVE_SUMMARY
 from dvc.exceptions import (
     CheckoutError,
     CollectCacheError,
@@ -81,6 +81,7 @@ class BaseOutput:
     PARAM_ISEXEC = "isexec"
     PARAM_LIVE = "live"
     PARAM_LIVE_SUMMARY = "summary"
+    PARAM_LIVE_REPORT = "report"
 
     METRIC_SCHEMA = Any(
         None,
@@ -620,5 +621,8 @@ class BaseOutput:
                 env[DVCLIVE_SUMMARY] = str(
                     int(config.get(BaseOutput.PARAM_LIVE_SUMMARY, True))
                 )
+                env[DVCLIVE_REPORT] = str(
+                    int(config.get(BaseOutput.PARAM_LIVE_REPORT, True))
+                )
             return env
         return {}
diff --git a/dvc/schema.py b/dvc/schema.py
index 41fb905a7..451399b26 100644
--- a/dvc/schema.py
+++ b/dvc/schema.py
@@ -69,6 +69,7 @@ PLOT_PSTAGE_SCHEMA = {str: Any(PLOT_PROPS_SCHEMA, [PLOT_PROPS_SCHEMA])}
 
 LIVE_PROPS = {
     BaseOutput.PARAM_LIVE_SUMMARY: bool,
+    BaseOutput.PARAM_LIVE_REPORT: bool,
 }
 LIVE_PROPS_SCHEMA = {**PLOT_PROPS_SCHEMA, **LIVE_PROPS}
 LIVE_PSTAGE_SCHEMA = {str: LIVE_PROPS_SCHEMA}
diff --git a/dvc/stage/utils.py b/dvc/stage/utils.py
index a621589b6..9b8f98df7 100644
--- a/dvc/stage/utils.py
+++ b/dvc/stage/utils.py
@@ -55,9 +55,7 @@ def fill_stage_outputs(stage, **kwargs):
 
     stage.outs = []
 
-    stage.outs += _load_live_outputs(
-        stage, kwargs.get("live", None), kwargs.get("live_summary", False)
-    )
+    stage.outs += _load_live_output(stage, **kwargs)
 
     for key in keys:
         stage.outs += loads_from(
@@ -71,17 +69,21 @@ def fill_stage_outputs(stage, **kwargs):
         )
 
 
-def _load_live_outputs(stage, live_l=None, live_summary=False):
+def _load_live_output(
+    stage, live=None, live_summary=False, live_report=False, **kwargs
+):
     from dvc.output import BaseOutput, loads_from
 
     outs = []
-    if live_l:
-
+    if live:
         outs += loads_from(
             stage,
-            [live_l],
+            [live],
             use_cache=False,
-            live={BaseOutput.PARAM_LIVE_SUMMARY: live_summary},
+            live={
+                BaseOutput.PARAM_LIVE_SUMMARY: live_summary,
+                BaseOutput.PARAM_LIVE_REPORT: live_report,
+            },
         )
 
     return outs
diff --git a/tests/func/test_live.py b/tests/func/test_live.py
index 54790d621..f0bf11acf 100644
--- a/tests/func/test_live.py
+++ b/tests/func/test_live.py
@@ -7,7 +7,7 @@ from dvc.exceptions import MetricsError
 
 LIVE_SCRITP = dedent(
     """
-        from dvclive import dvclive
+        import dvclive
         import sys
         r = 2
         for i in range(r):
@@ -22,7 +22,7 @@ def live_stage(tmp_dir, scm, dvc):
 
     pytest.skip("dvclive does not exist yet")
 
-    def make(summary=True):
+    def make(summary=True, report=True):
         tmp_dir.gen("train.py", LIVE_SCRITP)
         tmp_dir.gen("params.yaml", "foo: 1")
         stage = dvc.run(
@@ -32,6 +32,7 @@ def live_stage(tmp_dir, scm, dvc):
             name="live_stage",
             live="logs",
             live_summary=summary,
+            live_report=report,
         )
 
         scm.add(["dvc.yaml", "dvc.lock", "train.py", "params.yaml"])
@@ -41,8 +42,9 @@ def live_stage(tmp_dir, scm, dvc):
     yield make
 
 
+@pytest.mark.parametrize("report", (True, False))
 @pytest.mark.parametrize("summary", (True, False))
-def test_export_config_tmp(tmp_dir, dvc, mocker, summary):
+def test_export_config_tmp(tmp_dir, dvc, mocker, summary, report):
     run_spy = mocker.spy(stage_module.run, "_run")
     tmp_dir.gen("src", "dependency")
     dvc.run(
@@ -51,6 +53,7 @@ def test_export_config_tmp(tmp_dir, dvc, mocker, summary):
         name="run_logger",
         live="logs",
         live_summary=summary,
+        live_report=report,
     )
 
     assert run_spy.call_count == 1
@@ -62,6 +65,9 @@ def test_export_config_tmp(tmp_dir, dvc, mocker, summary):
     assert "DVCLIVE_SUMMARY" in kwargs["env"]
     assert kwargs["env"]["DVCLIVE_SUMMARY"] == str(int(summary))
 
+    assert "DVCLIVE_REPORT" in kwargs["env"]
+    assert kwargs["env"]["DVCLIVE_REPORT"] == str(int(report))
+
 
 @pytest.mark.parametrize("summary", (True, False))
 def test_export_config(tmp_dir, dvc, mocker, summary, live_stage):
@@ -115,3 +121,10 @@ def test_experiments_track_summary(tmp_dir, scm, dvc, live_stage):
 
     res = dvc.experiments.show()
     assert "logs.json" in res[baseline_rev][exp_rev]["metrics"].keys()
+
+
+@pytest.mark.parametrize("report", [True, False])
+def test_live_report(tmp_dir, dvc, live_stage, report):
+    live_stage(report=report)
+
+    assert (tmp_dir / "logs.html").is_file() == report
diff --git a/tests/unit/command/test_run.py b/tests/unit/command/test_run.py
index 8ab68d4a6..dabb3d20e 100644
--- a/tests/unit/command/test_run.py
+++ b/tests/unit/command/test_run.py
@@ -25,6 +25,7 @@ def test_run(mocker, dvc):
             "--live",
             "live",
             "--live-no-summary",
+            "--live-no-report",
             "--file",
             "file",
             "--wdir",
@@ -71,6 +72,7 @@ def test_run(mocker, dvc):
         params=["file:param1,param2", "param3"],
         live="live",
         live_summary=False,
+        live_report=False,
         fname="file",
         wdir="wdir",
         no_exec=True,
@@ -101,6 +103,7 @@ def test_run_args_from_cli(mocker, dvc):
         plots_no_cache=[],
         live=None,
         live_summary=True,
+        live_report=True,
         outs_persist=[],
         outs_persist_no_cache=[],
         checkpoints=[],
@@ -135,6 +138,7 @@ def test_run_args_with_spaces(mocker, dvc):
         plots_no_cache=[],
         live=None,
         live_summary=True,
+        live_report=True,
         outs_persist=[],
         outs_persist_no_cache=[],
         checkpoints=[],