Yes there will be a transit of the Sun by Mars, however you would have to be on the planet Saturn to see this transit as this graphic shows. This astronomical event is known as a heliocentric conjunction. It is determined by measuring, along the ecliptic, the angle between the Earth’s vernal equinox longitude, 0o, and a planet as would be seen if you were on the Sun.
The Mars – Saturn heliocentric conjunction is on Saturday, 14 June, at 18 UT (1 pm CDT).
While the short video below, taken by the Mars Curiosity Rover, is not a transit of the Sun by Mars it does show a transit of the Sun by Mercury as seen from the surface of Mars.
Click here to go to the Qué tal in the Current Skies web site for more observing information for this month.