diff --git a/os/log.c b/os/log.c
index 4bd6b7e9a..e15823046 100644
--- a/os/log.c
+++ b/os/log.c
@@ -612,8 +612,20 @@ LogSWrite(int verb, const char *buf, size_t len, Bool end_line)
 #endif
         }
         else if (!inSignalContext && logFile) {
-            if (newline)
-                fprintf(logFile, "[%10.3f] ", GetTimeInMillis() / 1000.0);
+            if (newline) {
+                time_t t = time(NULL);
+                struct tm tm;
+                char fmt_tm[32];
+
+#ifdef WIN32
+                localtime_s(&tm, &t);
+#else
+                localtime_r(&t, &tm);
+#endif
+                strftime(fmt_tm, sizeof(fmt_tm) - 1, "%Y-%m-%d %H:%M:%S", &tm);
+
+                fprintf(logFile, "[%s] ", fmt_tm);
+            }
             newline = end_line;
             fwrite(buf, len, 1, logFile);
             if (logFlush) {