try this approach if you know your object client name ( it is not important that it is Button or TextBox )
$('#ButtonName').removeAttr('onclick');
$('#ButtonName').attr('onClick', 'FunctionName(this);');
try this ones if you want add onClick event to a server object with JQuery
$('#' + '<%= ButtonName.ClientID %>').removeAttr('onclick');
$('#' + '<%= ButtonName.ClientID %>').attr('onClick', 'FunctionName(this);');