Don't use \stepcounter in the argument of \subsection. Even if preceding it with \protect in order to avoid the error, this will have adverse effect when \tableofcontents is used. The following example shows it clearly (I used \section, but it's exactly the same with \subsection, provided it goes in the table of contents).
\documentclass{article}
\newcounter{lecCounter}
\newcommand{\lecID}{\protect\stepcounter{lecCounter}\thelecCounter}
\begin{document}
\tableofcontents
\section{Lecture \lecID}
Text.
\end{document}

What you should do is to define a new command:
\newcommand{\lecture}{%
\stepcounter{lecCounter}%
\subsection{Lecture \thelecCounter}%
}
Fine tuning is possible, depending on your needs; for instance if you need to refer to the lecture number rather than to the subsection number. Another possibility would be adding an optional argument for a specific lecture title. Better encoding all this into a command, rather than chasing into the document if a change is needed.
A sample document might be
\documentclass{article}
\newcounter{lecCounter}
\newcommand{\lecture}{%
\stepcounter{lecCounter}%
\subsection{Lecture \thelecCounter}%
}
\begin{document}
\tableofcontents
\section{Group of lectures}
\lecture
Text.
\lecture
Text.
\end{document}
{}"button" in the ribbon above the edit window -- the site software will pretty-print them automatically. – Mico Dec 22 '14 at 06:28