diff --git a/NEWS.md b/NEWS.md
index aa82cd6b..3714cf82 100755
--- a/NEWS.md
+++ b/NEWS.md
@@ -4,6 +4,7 @@ If you are viewing this file on CRAN, please check [the latest news on GitHub](h
 
 - Fix: #771 read VPC files with absolute path
 - Enhance: `crs()` `is.empty()` and `area()` are now inherits from `terra` and no longer clash with `terra`.
+- Enhance: #776 `readLAScatalog` can skipped corrupted files
 
 ## lidR v4.1.2 (Release date: 2024-07-09)
 
diff --git a/R/io_readLAScatalog.R b/R/io_readLAScatalog.R
index 7a49ec61..6eb5533c 100644
--- a/R/io_readLAScatalog.R
+++ b/R/io_readLAScatalog.R
@@ -101,7 +101,13 @@ readLAScatalog <- function(folder, progress = TRUE, select = "*", filter = "", c
 
     headers <- lapply(files, function(x)
     {
-      header        <- rlas:::lasheaderreader(x)
+      header <- rlas:::lasheaderreader(x)
+      if (length(header) == 0)
+      {
+        warning(paste0("Corrupted file ", x, " is not readable and was skipped in the LAScatalog"))
+        return(NULL)
+      }
+
       header        <- LASheader(header)
       PHB           <- header@PHB
       names(PHB)    <- phblab
@@ -136,6 +142,8 @@ readLAScatalog <- function(folder, progress = TRUE, select = "*", filter = "", c
     })
   }
 
+  rm = sapply(headers, is.null)
+  files = files[!rm]
   headers <- data.table::rbindlist(headers)
   headers$filename <- files
   data.table::setDF(headers)