How to pass a params from POST to AWS Lambda from Amazon API Gateway

In this question How to pass a querystring or route parameter to AWS Lambda from Amazon API Gateway

shows how to map query string params to AWS lambda using API gateway. I would like to do the same but mapping POST values instead of query-string. I tried:

{
    "values": "$input.params()"
}

but did not work, I don't see the actual form data. BTW I am posting using:

application/x-www-form-urlencoded

I get my response from my lambda function, so I know it is invoking lambda fine, but my problem is that I don't see the POST params anywhere. I can;t figure out how to map them. I dump all I get on Lambda side and here it is:

 {"values":"{path={}, querystring={}, header={Accept=*/*, Accept-Encoding=gzip, deflate, Accept-Language=en-US,en;q=0.8, Cache-Control=no-cache, CloudFront-Forwarded-Proto=https, CloudFront-Is-Desktop-Viewer=true, CloudFront-Is-Mobile-Viewer=false, CloudFront-Is-SmartTV-Viewer=false, CloudFront-Is-Tablet-Viewer=false, CloudFront-Viewer-Country=US, Content-Type=application/x-www-form-urlencoded, Origin=chrome-extension://fhbjgbiflinjbdggehcddcbncdddomop, Postman-Token=7ba28698-8753-fcb1-1f48-66750ce12ade, Via=1.1 6ba5553fa41dafcdc0e74d152f3a7a75.cloudfront.net (CloudFront), X-Amz-Cf-Id=sc8C7dLcW0BHYopztNYrnddC0hXyFdBzHv0O9aWU1gKhd1D_J2HF3w==, X-Forwarded-For=50.196.93.57, 54.239.140.62, X-Forwarded-Port=443, X-Forwarded-Proto=https}}"}

Good answer by r7kamura. Additionally Here's an example of an understandable and robust mapping template for application/x-www-form-urlencoded that works for all cases (assuming POST):

{
    "data": {
        #foreach( $token in $input.path('$').split('&') )
            #set( $keyVal = $token.split('=') )
            #set( $keyValSize = $keyVal.size() )
            #if( $keyValSize >= 1 )
                #set( $key = $util.urlDecode($keyVal[0]) )
                #if( $keyValSize >= 2 )
                    #set( $val = $util.urlDecode($keyVal[1]) )
                #else
                    #set( $val = '' )
                #end
                "$key": "$val"#if($foreach.hasNext),#end
            #end
        #end
    }
}

It would transform an input of

name=Marcus&email=email%40example.com&message=

into

{
    "data": {
                "name": "Marcus",
                "email": "[email protected]",
                "message": ""
    }
}

A Lambda handler could use it like this (this one returns all input data):

module.exports.handler = function(event, context, cb) {
  return cb(null, {
    data: event.data
  });
};

You can convert any request body data into valid JSON format by configuring the mapping templates in the integration settings so that AWS Lambda can receive it.

Currently it seems Amazon API Gateway does not support application/x-www-form-urlencoded officially yet, but avilewin posted a solution to do that on the AWS forums. In the mapping templates you can use Velocity Template Language (VTL), so what you need to do is to configure mapping templates that convert application/x-www-form-urlencoded format into valid JSON format. Of course this is a dirty solution, but I think it's the only way to do that for now.