Hi Trinath Reddy,

I changed the code try using this. if your question is answered, please choose 1 best answer. 
But you can give every answer a thumb up if that answer is helpful to you. 

This will help keep the forum future users determine what answers are useful

VF Page
<apex:page standardController="contact" extensions="JSONParserUtil"   showheader="false" sidebar="false">
 <apex:pageBlock title="Feed News">
       <apex:pageMessages />
       <apex:pageBlockTable var="a" value="{!wrapperlist}"> 
           <apex:column value="{!a.author}"/>
           <apex:column value="{!a.title}"/>
           <apex:column value="{!a.description}"/>
           <apex:column value="{!a.url}"/>
           <apex:column value="{!a.urlToImage}"/>
           <apex:column value="{!a.publishedAt}"/>
       </apex:pageBlockTable>
       
</apex:pageBlock>
</apex:page>

Apex Class
public class JSONParserUtil {
    public List<ProWrapper> wrapperlist{get;set;}
    
    public JSONParserUtil(ApexPages.StandardController controller) {
        this.parseJSONResponse();
    }
 
    public void parseJSONResponse() {        
        Http httpProtocol = new Http();
        // Create HTTP request to send.
        HttpRequest request = new HttpRequest();
        // Set the endpoint URL.
        String endpoint = 'https://newsapi.org/v1/articles?source=the-next-web&sortBy=latest&apiKey=89edf61c78424b0a8dcafc4f9739f031';
        request.setEndPoint(endpoint);
        // Set the HTTP verb to GET.
        request.setMethod('GET');
        // Send the HTTP request and get the response.
        // The response is in JSON format.
        HttpResponse response = httpProtocol.send(request);
        System.debug('====Resp======'+response.getBody());
        if (response.getStatusCode() == 200) {
            wrapperlist = new List<ProWrapper>();
           JSONParser parser = JSON.createParser(response.getBody());
            while (parser.nextToken() != null) { 
             if (parser.getCurrentToken() == JSONToken.START_ARRAY) {       
               while (parser.nextToken() != null) {
                  if (parser.getCurrentToken() == JSONToken.START_OBJECT) {
                    Jsonparsercls le = (Jsonparsercls)parser.readValueAs(Jsonparsercls.class);
                    wrapperlist.add(new ProWrapper(le.author,le.title,le.description,le.url,le.urlToImage,le.publishedAt)); 
                  }
               }
              }
            }
         }
            
    }
    public class Jsonparsercls{  
      public String author{get;set;}
      public String title{get;set;}
      public String description{get;set;}
      public String url{get;set;}
      public String urlToImage{get;set;}
      public String publishedAt{get;set;}

    }
     
    public class ProWrapper
    {
        public String author{get;set;}
        public String title{get;set;}
        public String description{get;set;}
        public String url{get;set;}
        public String urlToImage{get;set;}
        public String publishedAt{get;set;}
        
        public ProWrapper(String author,String title,String description,String url, String urlToImage ,
                            String publishedAt) 
        {
            this.author = author;
            this.title = title;
            this.description = description;
            this.url = url;            
            this.urlToImage = urlToImage;
            this.publishedAt = publishedAt;
        }
    }// wrapper ends
        
}