diff --git a/src/Functions/randDistribution.cpp b/src/Functions/randDistribution.cpp
index dc2ddf2ef24..c14aba26d63 100644
--- a/src/Functions/randDistribution.cpp
+++ b/src/Functions/randDistribution.cpp
@@ -215,9 +215,8 @@ template <typename Distribution>
 class FunctionRandomDistribution : public IFunction
 {
 private:
-
     template <typename ResultType>
-    ResultType getParameterFromConstColumn(size_t parameter_number, const ColumnsWithTypeAndName & arguments) const
+    ResultType getParameterFromColumn(size_t parameter_number, const ColumnsWithTypeAndName & arguments) const
     {
         if (parameter_number >= arguments.size())
             throw Exception(
@@ -226,11 +225,20 @@ private:
                             parameter_number, arguments.size());
 
         const IColumn * col = arguments[parameter_number].column.get();
+        ResultType parameter;
 
-        if (!isColumnConst(*col))
-            throw Exception(ErrorCodes::ILLEGAL_COLUMN, "Parameter number {} of function {} must be constant.", parameter_number, getName());
-
-        auto parameter = applyVisitor(FieldVisitorConvertToNumber<ResultType>(), assert_cast<const ColumnConst &>(*col).getField());
+        if (const ColumnVector<ResultType> * col_in = checkAndGetColumn<ColumnVector<ResultType>>(col))
+        {
+            parameter = *col_in->getData().data();
+        }
+        else if (isColumnConst(*col))
+        {
+            parameter = applyVisitor(FieldVisitorConvertToNumber<ResultType>(), assert_cast<const ColumnConst &>(*col).getField());
+        }
+        else
+        {
+            throw Exception(ErrorCodes::BAD_ARGUMENTS, "Parameter number {} of function {} is expected to be constant or ColumnVector", parameter_number, getName());
+        }
 
         if (isNaN(parameter) || !std::isfinite(parameter))
             throw Exception(ErrorCodes::BAD_ARGUMENTS, "Parameter number {} of function {} cannot be NaN of infinite", parameter_number, getName());
@@ -278,21 +286,21 @@ public:
         {
             auto res_column = ColumnUInt8::create(input_rows_count);
             auto & res_data = res_column->getData();
-            Distribution::generate(getParameterFromConstColumn<Float64>(0, arguments), res_data);
+            Distribution::generate(getParameterFromColumn<Float64>(0, arguments), res_data);
             return res_column;
         }
         else if constexpr (std::is_same_v<Distribution, BinomialDistribution> || std::is_same_v<Distribution, NegativeBinomialDistribution>)
         {
             auto res_column = ColumnUInt64::create(input_rows_count);
             auto & res_data = res_column->getData();
-            Distribution::generate(getParameterFromConstColumn<UInt64>(0, arguments), getParameterFromConstColumn<Float64>(1, arguments), res_data);
+            Distribution::generate(getParameterFromColumn<UInt64>(0, arguments), getParameterFromColumn<Float64>(1, arguments), res_data);
             return res_column;
         }
         else if constexpr (std::is_same_v<Distribution, PoissonDistribution>)
         {
             auto res_column = ColumnUInt64::create(input_rows_count);
             auto & res_data = res_column->getData();
-            Distribution::generate(getParameterFromConstColumn<UInt64>(0, arguments), res_data);
+            Distribution::generate(getParameterFromColumn<UInt64>(0, arguments), res_data);
             return res_column;
         }
         else
@@ -301,11 +309,11 @@ public:
             auto & res_data = res_column->getData();
             if constexpr (Distribution::getNumberOfArguments() == 1)
             {
-                Distribution::generate(getParameterFromConstColumn<Float64>(0, arguments), res_data);
+                Distribution::generate(getParameterFromColumn<Float64>(0, arguments), res_data);
             }
             else if constexpr (Distribution::getNumberOfArguments() == 2)
             {
-                Distribution::generate(getParameterFromConstColumn<Float64>(0, arguments), getParameterFromConstColumn<Float64>(1, arguments), res_data);
+                Distribution::generate(getParameterFromColumn<Float64>(0, arguments), getParameterFromColumn<Float64>(1, arguments), res_data);
             }
             else
             {