Assuming the "Frosty the Snowman' you're looking for is the regular one:

FROSTY THE SNOWMAN
Words and Music by Steve Nelson and Jack Rollins

Frosty the snowman
Was a jolly happy soul
With a corncob pipe
And a button nose
And two eyes made out of coal
Frosty the snowman
Is a fairy tale they say
He was made of snow
But the children know
How he came to life one day

There must have been some magic in that
Old silk hat they found
For when they placed it on his head
He began to dance around
O Frosty the snowman
Was alive as he could be
And the children say
He could laugh and play
Just the same as you and me

Thumpetty thump thump
Thumpety thump thump
Look at Frosty go
Thumpetty thump thump
Thumpety thump thump
Over the hills of snow

Frosty the snowman knew
The sun was hot that day
So he said
"Let's run and
We'll have some fun
Now before I melt away"

Down to the village
With a broomstick in his hand
Running here and there all
Around the square saying
Catch me if you can
He led them down the streets of town
Right to the traffic cop
And he only paused a moment when
He heard him holler "Stop!"

For Frosty the snow man
Had to hurry on his way
But he waved goodbye saying
"Don't you cry
I'll be back again some day"

Thumpetty thump thump
Thumpety thump thump
Look at Frosty go
Thumpetty thump thump
Thumpety thump thump
Over the hills of snow